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Finding the Fourth Proportional to 625.90, 938.82 and 420.82

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Solution

The fourth proportional to 625.90, 938.82 and 420.82 is: 631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.90 : 938.82 = 420.82 : x
  2. Step 2: Convert to fraction form
    625.90/938.82 = 420.82/x
  3. Step 3: Cross multiply
    625.90x = 938.82 × 420.82
  4. Step 4: Simplify right side
    625.90x = 395,074.23
  5. Step 5: Solve for x
    x = 395,074.23/625.90
  6. Step 6: Final answer
    x = 631.21

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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.