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Finding the Fourth Proportional to 627.08, 865.10 and 378.24

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Solution

The fourth proportional to 627.08, 865.10 and 378.24 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.08 : 865.10 = 378.24 : x
  2. Step 2: Convert to fraction form
    627.08/865.10 = 378.24/x
  3. Step 3: Cross multiply
    627.08x = 865.10 × 378.24
  4. Step 4: Simplify right side
    627.08x = 327,213.53
  5. Step 5: Solve for x
    x = 327,213.53/627.08
  6. Step 6: Final answer
    x = 521.81

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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.