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Finding the Fourth Proportional to 625.82, 938.21 and 471.44

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Solution

The fourth proportional to 625.82, 938.21 and 471.44 is: 706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.82 : 938.21 = 471.44 : x
  2. Step 2: Convert to fraction form
    625.82/938.21 = 471.44/x
  3. Step 3: Cross multiply
    625.82x = 938.21 × 471.44
  4. Step 4: Simplify right side
    625.82x = 442,302.67
  5. Step 5: Solve for x
    x = 442,302.67/625.82
  6. Step 6: Final answer
    x = 706.76

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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.