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Finding the Fourth Proportional to 729.70, 1,006.86 and 481.12

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Solution

The fourth proportional to 729.70, 1,006.86 and 481.12 is: 663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.70 : 1,006.86 = 481.12 : x
  2. Step 2: Convert to fraction form
    729.70/1,006.86 = 481.12/x
  3. Step 3: Cross multiply
    729.70x = 1,006.86 × 481.12
  4. Step 4: Simplify right side
    729.70x = 484,420.48
  5. Step 5: Solve for x
    x = 484,420.48/729.70
  6. Step 6: Final answer
    x = 663.86

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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.