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Finding the Fourth Proportional to 408.52, 609.82 and 381.20

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Solution

The fourth proportional to 408.52, 609.82 and 381.20 is: 569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 609.82 = 381.20 : x
  2. Step 2: Convert to fraction form
    408.52/609.82 = 381.20/x
  3. Step 3: Cross multiply
    408.52x = 609.82 × 381.20
  4. Step 4: Simplify right side
    408.52x = 232,463.38
  5. Step 5: Solve for x
    x = 232,463.38/408.52
  6. Step 6: Final answer
    x = 569.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.