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Finding the Fourth Proportional to 672.80, 1,006.92 and 499.76

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Solution

The fourth proportional to 672.80, 1,006.92 and 499.76 is: 747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.80 : 1,006.92 = 499.76 : x
  2. Step 2: Convert to fraction form
    672.80/1,006.92 = 499.76/x
  3. Step 3: Cross multiply
    672.80x = 1,006.92 × 499.76
  4. Step 4: Simplify right side
    672.80x = 503,218.34
  5. Step 5: Solve for x
    x = 503,218.34/672.80
  6. Step 6: Final answer
    x = 747.95

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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.