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Finding the Fourth Proportional to 463.73, 638.87 and 321.80

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Solution

The fourth proportional to 463.73, 638.87 and 321.80 is: 443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.73 : 638.87 = 321.80 : x
  2. Step 2: Convert to fraction form
    463.73/638.87 = 321.80/x
  3. Step 3: Cross multiply
    463.73x = 638.87 × 321.80
  4. Step 4: Simplify right side
    463.73x = 205,590.16
  5. Step 5: Solve for x
    x = 205,590.16/463.73
  6. Step 6: Final answer
    x = 443.34

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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.