Question

80 : 730 :: 120 : ?
What is the Next Number. Please Explain it.​

Answer 1

Answer:

The Next Number is 1095

Step-by-step explanation:

Let the no be x

So, acc to question

80 : 730 :: 120 : x

Product of the extremes = 80*x =80x

Product of the means = 730*120=87600

Since 80 : 730 :: 120 : x , we have:

Product of the extremes = Product of the means

⇒ 80x = 87600

⇒ x = 87600/80

⇒ x = 1095

Answer 2

From the given question the correct answer is:

80 : 730 :: 120 : 1095

Given : 80 : 730 :: 120 : ?

To find: The next number

Concept used :

Product of the extremes

Product of the means

For every proportion, the product of the extremes is always equal to the product of the means, i.e., a: b:: c : d if and only if ad = bc.

Solution:

Let the unknown  no be x

So,  

80 : 730 :: 120 : x

Product of the extremes = 80×x =80x

Product of the means = 730×120=87600

 80: 730:: 120 : x

Now,

Product of the extremes = Product of the means

 80x = 87600

 x = 87600/80

 x = 1095

Hence, the unknown number is 1095