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Finding the Fourth Proportional to 627.10, 865.59 and 361.72

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Solution

The fourth proportional to 627.10, 865.59 and 361.72 is: 499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.10 : 865.59 = 361.72 : x
  2. Step 2: Convert to fraction form
    627.10/865.59 = 361.72/x
  3. Step 3: Cross multiply
    627.10x = 865.59 × 361.72
  4. Step 4: Simplify right side
    627.10x = 313,103.65
  5. Step 5: Solve for x
    x = 313,103.65/627.10
  6. Step 6: Final answer
    x = 499.29

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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.