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Finding the Fourth Proportional to 627.90, 865.71 and 461.58

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Solution

The fourth proportional to 627.90, 865.71 and 461.58 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.90 : 865.71 = 461.58 : x
  2. Step 2: Convert to fraction form
    627.90/865.71 = 461.58/x
  3. Step 3: Cross multiply
    627.90x = 865.71 × 461.58
  4. Step 4: Simplify right side
    627.90x = 399,594.42
  5. Step 5: Solve for x
    x = 399,594.42/627.90
  6. Step 6: Final answer
    x = 636.40

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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.