Question

question . 24:416::46 :​

Answer 1

Answer:

The missing number  in the proportion = 797.333

Step-by-step explanation:

Given,

24: 416 :: 46 : ----

Required to find the missing number

Recall the concept

If four numbers a,b,c,d are in proportion, then we write a:b::c:d

If four numbers are in proportion, then we have

Product of means = product of the extremes

Here, 'a' and 'd' are the extremes, and 'b' and 'c' are the means.

Solution:

Let the missing number be 'x', then we have 24: 416 :: 46 : x

Here the four numbers 24,416, 46, and x are in proportion.

Also, 24 and x are extremes and 416 and 46 are means

Product of the means = 416 × 46 = 19136

Product of the extremes = 24x

Since, Product of means = Product of extremes

we have, 24x = 19136

x = $\frac{19136}{24}$ = 797.33333

Hence the missing number in the proportion = 797.333

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Answer 2

Answer:

The required value is 797.3333

Step-by-step explanation:

As per the data given in the question,

We have,

24: 416 :: 46 :___

The four numbers a,b,c,d are in proportion

So, we can als write,

$\frac{24}{416} =\frac{46}{x} \\24\times x=46\times 416\\x= \frac{46\times 416}{24} \\x=797.3333$

So, the required value is 797.3333

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