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Finding the Fourth Proportional to 729.35, 1,006.64 and 493.29

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Solution

The fourth proportional to 729.35, 1,006.64 and 493.29 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.35 : 1,006.64 = 493.29 : x
  2. Step 2: Convert to fraction form
    729.35/1,006.64 = 493.29/x
  3. Step 3: Cross multiply
    729.35x = 1,006.64 × 493.29
  4. Step 4: Simplify right side
    729.35x = 496,562.98
  5. Step 5: Solve for x
    x = 496,562.98/729.35
  6. Step 6: Final answer
    x = 680.83

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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.