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Finding the Fourth Proportional to 520.71, 781.52 and 462.84

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Solution

The fourth proportional to 520.71, 781.52 and 462.84 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.71 : 781.52 = 462.84 : x
  2. Step 2: Convert to fraction form
    520.71/781.52 = 462.84/x
  3. Step 3: Cross multiply
    520.71x = 781.52 × 462.84
  4. Step 4: Simplify right side
    520.71x = 361,716.40
  5. Step 5: Solve for x
    x = 361,716.40/520.71
  6. Step 6: Final answer
    x = 694.66

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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.