Find the fourth proportional of (x4 - y4), (x + y) and (x − y), provided x ≠ y.
(x2 + y2)-1
The correct answer is (x 2 + y 2 ) -1.
If x^2 - y^2 \ne 0, we can divide both sides by (x^2 - y^2): \[(x^2 + y^2) \times d = 1\] \[d = \frac{1}{x^2 + y^2}\] This confirms the previous result (x^2 + y^2)^{-1} and shows that using cross-multiplication is an equally valid approach. Problems involving fourth proportion often require a good grasp of algebraic factorization and manipulation skills to simplify expressions before finding the unknown term.
Similar Questions
The fourth proportional of 10, 15 and 30 is:
What is the fourth proportional of 21, 56 and 27?
Find the fourth proportion of the following numbers.
\(\frac{1}{3}\) of 18, \(\frac{4}{5}\) of 20, \(\frac{3}{7}\) of 28.
The fourth proportional to 0.08, 0.12 and 6 is:
What is the fourth proportional of \(\frac{1}{72},\frac{1}{168},\frac{1}{150}\) ?
What is the fourth proportional to the numbers 8, 66 and 112?
What is the fourth proportional to \(13\frac{1}{2}\) , \(9\frac{3}{4}\) and \(7\frac{4}{5}\) ?
Find the fourth proportion of the following numbers.
\(\frac{1}{3}\) of 6, \(\frac{4}{5}\) of 15, \(\frac{3}{7}\) of 21.
Find the fourth proportional to m + 3, m + 7 and 15 m if m = 3.
The fourth proportional to 10.8, 3.6 and 20.4 is:
Important Questions from Fourth Proportional
The fourth proportional to the numbers 5, 6 and 8 is:
What is the fourth proportional to the numbers 50, 35 and 20?
If 162 ∶ x ∶∶ x ∶ 338, find the positive value of x.
The fourth proportional of 10, 15 and 30 is:
The fourth proportional to 3, 12, 14 is:
