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Finding the Fourth Proportional to 624.62, 937.20 and 408.62

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Solution

The fourth proportional to 624.62, 937.20 and 408.62 is: 613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.62 : 937.20 = 408.62 : x
  2. Step 2: Convert to fraction form
    624.62/937.20 = 408.62/x
  3. Step 3: Cross multiply
    624.62x = 937.20 × 408.62
  4. Step 4: Simplify right side
    624.62x = 382,958.66
  5. Step 5: Solve for x
    x = 382,958.66/624.62
  6. Step 6: Final answer
    x = 613.11

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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.