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Finding the Fourth Proportional to 487.85, 731.87 and 442.49

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Solution

The fourth proportional to 487.85, 731.87 and 442.49 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.85 : 731.87 = 442.49 : x
  2. Step 2: Convert to fraction form
    487.85/731.87 = 442.49/x
  3. Step 3: Cross multiply
    487.85x = 731.87 × 442.49
  4. Step 4: Simplify right side
    487.85x = 323,844.43
  5. Step 5: Solve for x
    x = 323,844.43/487.85
  6. Step 6: Final answer
    x = 663.82

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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.