Question

The value of x in the proportion 1/2:2/3 = 3/4:x is

A) 1
B) 4/9
C) 1 7/9
D) 1/4

Answer 1

A) 1

Explanation:

got it right on odyssey :)

Answer 2

For this case we have the following proportion:

`\frac {\frac {1} {2}} {\frac {2} {3}} = \frac {\frac {3} {4}} {x}`

Rewriting the given expression we have:

`\frac {1} {2} \frac {3} {2} = \frac {\frac {3} {4}} {x}\\\frac {3} {4} = \frac {\frac {3} {4}} {x}`

From here, we must clear the value of x.

We have then:

`\frac {3} {4} x = \frac {3} {4}\\x = \frac {\frac {3} {4}} {\frac {3} {4}}\\x = 1`

Answer:

The value of x in the given proportion is given by:

`x = 1`

option A