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Finding the Fourth Proportional to 425.92, 638.19 and 409.93

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Solution

The fourth proportional to 425.92, 638.19 and 409.93 is: 614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.92 : 638.19 = 409.93 : x
  2. Step 2: Convert to fraction form
    425.92/638.19 = 409.93/x
  3. Step 3: Cross multiply
    425.92x = 638.19 × 409.93
  4. Step 4: Simplify right side
    425.92x = 261,613.23
  5. Step 5: Solve for x
    x = 261,613.23/425.92
  6. Step 6: Final answer
    x = 614.23

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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.