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Finding the Fourth Proportional to 729.52, 1,092.78 and 358.20

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Solution

The fourth proportional to 729.52, 1,092.78 and 358.20 is: 536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.52 : 1,092.78 = 358.20 : x
  2. Step 2: Convert to fraction form
    729.52/1,092.78 = 358.20/x
  3. Step 3: Cross multiply
    729.52x = 1,092.78 × 358.20
  4. Step 4: Simplify right side
    729.52x = 391,433.80
  5. Step 5: Solve for x
    x = 391,433.80/729.52
  6. Step 6: Final answer
    x = 536.56

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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.