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Finding the Fourth Proportional to 627.02, 938.49 and 567.14

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Solution

The fourth proportional to 627.02, 938.49 and 567.14 is: 848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.02 : 938.49 = 567.14 : x
  2. Step 2: Convert to fraction form
    627.02/938.49 = 567.14/x
  3. Step 3: Cross multiply
    627.02x = 938.49 × 567.14
  4. Step 4: Simplify right side
    627.02x = 532,255.22
  5. Step 5: Solve for x
    x = 532,255.22/627.02
  6. Step 6: Final answer
    x = 848.86

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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.