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Finding the Fourth Proportional to 625.94, 937.56 and 408.86

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Solution

The fourth proportional to 625.94, 937.56 and 408.86 is: 612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.94 : 937.56 = 408.86 : x
  2. Step 2: Convert to fraction form
    625.94/937.56 = 408.86/x
  3. Step 3: Cross multiply
    625.94x = 937.56 × 408.86
  4. Step 4: Simplify right side
    625.94x = 383,330.78
  5. Step 5: Solve for x
    x = 383,330.78/625.94
  6. Step 6: Final answer
    x = 612.41

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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.