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Finding the Fourth Proportional to 671.73, 1,006.67 and 499.04

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Solution

The fourth proportional to 671.73, 1,006.67 and 499.04 is: 747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.73 : 1,006.67 = 499.04 : x
  2. Step 2: Convert to fraction form
    671.73/1,006.67 = 499.04/x
  3. Step 3: Cross multiply
    671.73x = 1,006.67 × 499.04
  4. Step 4: Simplify right side
    671.73x = 502,371.44
  5. Step 5: Solve for x
    x = 502,371.44/671.73
  6. Step 6: Final answer
    x = 747.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.