Question

611:4::?:5 find the number?

Answer 1

SOLUTION

TO DETERMINE

The number

611 : 4 :: ? : 5

EVALUATION

Let x be the number

Then 611 : 4 :: x : 5

$\displaystyle\implies \sf{ \frac{611}{4} = \frac{x}{5} }$

$\displaystyle\implies \sf{4x = 611 \times 5 }$

$\displaystyle\implies \sf{4x = 3055 }$

$\displaystyle\implies \sf{x = \frac{3055}{4} }$

FINAL ANSWER

The required number is

$\displaystyle \: \sf{ \frac{3055}{4} }$

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Answer 2

Solution -

◕ 611 : 4 :: ? : 5

◕ Let's ? be a.

Now,

★ 611 : 4 :: a : 5

★ 611/4 = a/5

• Let's cross multiply

★ 4a = 611(5)

★ 4a = 611 × 5

★ 4a = 3055

★ a = 3055/4

Henceforth, the value of ? is 3055/44

611 : 4 :: 3055/4 : 5

Extra knowledge -

◕ Definition of ratio and proportion.

Ratio - When we are comparing two quantities of the same kind by dividing them, we can call them as ratio. It's symbol is ':'

Proportion - Let's understand proportions by examples –

Let's suppose that the cost of 8 lipsticks are Rupess 1600 and the cost of 10 lipsticks are 2000 Rupees. Then we can say that the ratio of their quantity of lipsticks are 8:10 and ratio of their prices are 1600:2000. Henceforth, 8:10 = 1600:2000

It's observed that the ratio of quantity of lipsticks to its cost is equal..!

Such an quantity of two ratios are known to be propositions.