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Finding the Fourth Proportional to 625.76, 937.92 and 420.08

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Solution

The fourth proportional to 625.76, 937.92 and 420.08 is: 629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.76 : 937.92 = 420.08 : x
  2. Step 2: Convert to fraction form
    625.76/937.92 = 420.08/x
  3. Step 3: Cross multiply
    625.76x = 937.92 × 420.08
  4. Step 4: Simplify right side
    625.76x = 394,001.43
  5. Step 5: Solve for x
    x = 394,001.43/625.76
  6. Step 6: Final answer
    x = 629.64

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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.