Question

85: 448 :: 77 : ? Solve it value of ? ​

Answer 1

The value of (?) is 405.83

GIVEN:- 85: 448:: 77:?

TO FIND:- the value of?

SOLUTION:-

• We can define a ratio of two quantities a and b of the same kind in the same units as a fraction $\frac{a}{b}$

• A proportion is an equation that expresses that two ratios are equal. Four numbers are said to be in proportion if the ratio of the first two is equal to the ratio of the last two i.e., a, b, c and d are said to be in proportion, if a: b = c / d This is expressed as a: b::c: d. It is read as "a is to b as c is to d.

According to the question,

Let (?) be x

85: 448:: 77:?

$\frac{85}{448} = \frac{77}{x}$

By cross multiplication

$85 \times x = 77 \times 448 \\ 85x = 34496$

Dividing both sides by 85

$\frac{85x}{85} = \frac{34496}{85} \\ x = 405.83$

Hence, the value of (?) is 405.83

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Answer 2

Answer:

The answer to the given question is 85:448::77:405.83

Step-by-step explanation:

Given :

85:448::77:?

To find :

we have to find the value that replaces the?

Solution :

A ratio is defined as how many times one number contains another number.

A ratio of the same kind in the same units as a fraction

$\frac{x}{y}$

An equation that explains the two ratios are equal is called a proportion.

let us consider 4 numbers if the ratio of the first two numbers is equal to the ratio of the next two numbers.

Then the four numbers are said to be in proportion.

For example :

x, y, a, b

the ratio of these will be given as

$\frac{x}{ y}= \frac{a}{b}$

This can be expressed as

x:y::a:b

x is to y and a is to b.

According to the data given in the question,

85:448::77:?

let ? be p

85:448::77:p

$\frac{85}{448} = \frac{77}{p}$

By performing the cross-multiplication we get the values as

$85 \times p = 77\times 448 \\ 85 p= 34496$

The constant multiplying on the left divides the value on the right.

$p = \frac{34496}{85} \\ p = 405.83$

The value of p is obtained as 405.83

Therefore, the final answer to the given question is 405.83.

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