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Finding the Fourth Proportional to 627.15, 865.55 and 461.44

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Solution

The fourth proportional to 627.15, 865.55 and 461.44 is: 636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.15 : 865.55 = 461.44 : x
  2. Step 2: Convert to fraction form
    627.15/865.55 = 461.44/x
  3. Step 3: Cross multiply
    627.15x = 865.55 × 461.44
  4. Step 4: Simplify right side
    627.15x = 399,399.39
  5. Step 5: Solve for x
    x = 399,399.39/627.15
  6. Step 6: Final answer
    x = 636.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.