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Finding the Fourth Proportional to 437, 654.82 and 371.73

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Solution

The fourth proportional to 437, 654.82 and 371.73 is: 557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    437 : 654.82 = 371.73 : x
  2. Step 2: Convert to fraction form
    437/654.82 = 371.73/x
  3. Step 3: Cross multiply
    437x = 654.82 × 371.73
  4. Step 4: Simplify right side
    437x = 243,414.38
  5. Step 5: Solve for x
    x = 243,414.38/437
  6. Step 6: Final answer
    x = 557.01

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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.