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Finding the Fourth Proportional to 425.08, 638.82 and 408.88

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Solution

The fourth proportional to 425.08, 638.82 and 408.88 is: 614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.08 : 638.82 = 408.88 : x
  2. Step 2: Convert to fraction form
    425.08/638.82 = 408.88/x
  3. Step 3: Cross multiply
    425.08x = 638.82 × 408.88
  4. Step 4: Simplify right side
    425.08x = 261,200.72
  5. Step 5: Solve for x
    x = 261,200.72/425.08
  6. Step 6: Final answer
    x = 614.47

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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.