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Finding the Fourth Proportional to 627.88, 938.22 and 478.82

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Solution

The fourth proportional to 627.88, 938.22 and 478.82 is: 715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.88 : 938.22 = 478.82 : x
  2. Step 2: Convert to fraction form
    627.88/938.22 = 478.82/x
  3. Step 3: Cross multiply
    627.88x = 938.22 × 478.82
  4. Step 4: Simplify right side
    627.88x = 449,236.47
  5. Step 5: Solve for x
    x = 449,236.47/627.88
  6. Step 6: Final answer
    x = 715.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.