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Finding the Fourth Proportional to 424.41, 637.13 and 402.89

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Solution

The fourth proportional to 424.41, 637.13 and 402.89 is: 604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.41 : 637.13 = 402.89 : x
  2. Step 2: Convert to fraction form
    424.41/637.13 = 402.89/x
  3. Step 3: Cross multiply
    424.41x = 637.13 × 402.89
  4. Step 4: Simplify right side
    424.41x = 256,692.87
  5. Step 5: Solve for x
    x = 256,692.87/424.41
  6. Step 6: Final answer
    x = 604.82

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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.