Home / 661.34-992.14-456

Finding the Fourth Proportional to 661.34, 992.14 and 456

Calculator

Solution

The fourth proportional to 661.34, 992.14 and 456 is: 684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.34 : 992.14 = 456 : x
  2. Step 2: Convert to fraction form
    661.34/992.14 = 456/x
  3. Step 3: Cross multiply
    661.34x = 992.14 × 456
  4. Step 4: Simplify right side
    661.34x = 452,415.84
  5. Step 5: Solve for x
    x = 452,415.84/661.34
  6. Step 6: Final answer
    x = 684.09

Related Problems

Find fourth proportional to 330.67, 496.07 and 228
Half scale
Find fourth proportional to 1,322.68, 1,984.28 and 912
Double scale
Find fourth proportional to 662.34, 993.64 and 457
Similar ratio
Find fourth proportional to 992.01, 1,488.21 and 684
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.