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Finding the Fourth Proportional to 729.97, 1,007.50 and 481.30

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Solution

The fourth proportional to 729.97, 1,007.50 and 481.30 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.97 : 1,007.50 = 481.30 : x
  2. Step 2: Convert to fraction form
    729.97/1,007.50 = 481.30/x
  3. Step 3: Cross multiply
    729.97x = 1,007.50 × 481.30
  4. Step 4: Simplify right side
    729.97x = 484,909.75
  5. Step 5: Solve for x
    x = 484,909.75/729.97
  6. Step 6: Final answer
    x = 664.29

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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.