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Finding the Fourth Proportional to 728.82, 1,006.48 and 463.76

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Solution

The fourth proportional to 728.82, 1,006.48 and 463.76 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.82 : 1,006.48 = 463.76 : x
  2. Step 2: Convert to fraction form
    728.82/1,006.48 = 463.76/x
  3. Step 3: Cross multiply
    728.82x = 1,006.48 × 463.76
  4. Step 4: Simplify right side
    728.82x = 466,764.49
  5. Step 5: Solve for x
    x = 466,764.49/728.82
  6. Step 6: Final answer
    x = 640.44

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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.