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Finding the Fourth Proportional to 624.88, 938.13 and 409.42

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Solution

The fourth proportional to 624.88, 938.13 and 409.42 is: 614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.88 : 938.13 = 409.42 : x
  2. Step 2: Convert to fraction form
    624.88/938.13 = 409.42/x
  3. Step 3: Cross multiply
    624.88x = 938.13 × 409.42
  4. Step 4: Simplify right side
    624.88x = 384,089.18
  5. Step 5: Solve for x
    x = 384,089.18/624.88
  6. Step 6: Final answer
    x = 614.66

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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.