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Finding the Fourth Proportional to 627.24, 865.61 and 378.57

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Solution

The fourth proportional to 627.24, 865.61 and 378.57 is: 522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.24 : 865.61 = 378.57 : x
  2. Step 2: Convert to fraction form
    627.24/865.61 = 378.57/x
  3. Step 3: Cross multiply
    627.24x = 865.61 × 378.57
  4. Step 4: Simplify right side
    627.24x = 327,692.08
  5. Step 5: Solve for x
    x = 327,692.08/627.24
  6. Step 6: Final answer
    x = 522.43

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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.