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Finding the Fourth Proportional to 729.46, 1,092.58 and 524.43

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Solution

The fourth proportional to 729.46, 1,092.58 and 524.43 is: 785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.46 : 1,092.58 = 524.43 : x
  2. Step 2: Convert to fraction form
    729.46/1,092.58 = 524.43/x
  3. Step 3: Cross multiply
    729.46x = 1,092.58 × 524.43
  4. Step 4: Simplify right side
    729.46x = 572,981.73
  5. Step 5: Solve for x
    x = 572,981.73/729.46
  6. Step 6: Final answer
    x = 785.49

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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.