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Finding the Fourth Proportional to 691.61, 951.56 and 524.85

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Solution

The fourth proportional to 691.61, 951.56 and 524.85 is: 722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.61 : 951.56 = 524.85 : x
  2. Step 2: Convert to fraction form
    691.61/951.56 = 524.85/x
  3. Step 3: Cross multiply
    691.61x = 951.56 × 524.85
  4. Step 4: Simplify right side
    691.61x = 499,425.61
  5. Step 5: Solve for x
    x = 499,425.61/691.61
  6. Step 6: Final answer
    x = 722.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.