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Finding the Fourth Proportional to 424.66, 635.96 and 375.97

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Solution

The fourth proportional to 424.66, 635.96 and 375.97 is: 563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.66 : 635.96 = 375.97 : x
  2. Step 2: Convert to fraction form
    424.66/635.96 = 375.97/x
  3. Step 3: Cross multiply
    424.66x = 635.96 × 375.97
  4. Step 4: Simplify right side
    424.66x = 239,098.70
  5. Step 5: Solve for x
    x = 239,098.70/424.66
  6. Step 6: Final answer
    x = 563.04

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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.