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Finding the Fourth Proportional to 487.49, 731.79 and 385.11

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Solution

The fourth proportional to 487.49, 731.79 and 385.11 is: 578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.49 : 731.79 = 385.11 : x
  2. Step 2: Convert to fraction form
    487.49/731.79 = 385.11/x
  3. Step 3: Cross multiply
    487.49x = 731.79 × 385.11
  4. Step 4: Simplify right side
    487.49x = 281,819.65
  5. Step 5: Solve for x
    x = 281,819.65/487.49
  6. Step 6: Final answer
    x = 578.11

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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.