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Finding the Fourth Proportional to 729.04, 1,006.68 and 497.20

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Solution

The fourth proportional to 729.04, 1,006.68 and 497.20 is: 686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.04 : 1,006.68 = 497.20 : x
  2. Step 2: Convert to fraction form
    729.04/1,006.68 = 497.20/x
  3. Step 3: Cross multiply
    729.04x = 1,006.68 × 497.20
  4. Step 4: Simplify right side
    729.04x = 500,521.30
  5. Step 5: Solve for x
    x = 500,521.30/729.04
  6. Step 6: Final answer
    x = 686.55

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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.