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Finding the Fourth Proportional to 627.43, 865.88 and 361.77

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Solution

The fourth proportional to 627.43, 865.88 and 361.77 is: 499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.43 : 865.88 = 361.77 : x
  2. Step 2: Convert to fraction form
    627.43/865.88 = 361.77/x
  3. Step 3: Cross multiply
    627.43x = 865.88 × 361.77
  4. Step 4: Simplify right side
    627.43x = 313,252.61
  5. Step 5: Solve for x
    x = 313,252.61/627.43
  6. Step 6: Final answer
    x = 499.26

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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.