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Finding the Fourth Proportional to 625.61, 937.35 and 442.10

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Solution

The fourth proportional to 625.61, 937.35 and 442.10 is: 662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.61 : 937.35 = 442.10 : x
  2. Step 2: Convert to fraction form
    625.61/937.35 = 442.10/x
  3. Step 3: Cross multiply
    625.61x = 937.35 × 442.10
  4. Step 4: Simplify right side
    625.61x = 414,404.78
  5. Step 5: Solve for x
    x = 414,404.78/625.61
  6. Step 6: Final answer
    x = 662.40

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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.