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Finding the Fourth Proportional to 729.30, 1,005.26 and 493.17

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Solution

The fourth proportional to 729.30, 1,005.26 and 493.17 is: 679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.30 : 1,005.26 = 493.17 : x
  2. Step 2: Convert to fraction form
    729.30/1,005.26 = 493.17/x
  3. Step 3: Cross multiply
    729.30x = 1,005.26 × 493.17
  4. Step 4: Simplify right side
    729.30x = 495,761.61
  5. Step 5: Solve for x
    x = 495,761.61/729.30
  6. Step 6: Final answer
    x = 679.78

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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.