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Finding the Fourth Proportional to 627.24, 865.55 and 378.61

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Solution

The fourth proportional to 627.24, 865.55 and 378.61 is: 522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.24 : 865.55 = 378.61 : x
  2. Step 2: Convert to fraction form
    627.24/865.55 = 378.61/x
  3. Step 3: Cross multiply
    627.24x = 865.55 × 378.61
  4. Step 4: Simplify right side
    627.24x = 327,704.67
  5. Step 5: Solve for x
    x = 327,704.67/627.24
  6. Step 6: Final answer
    x = 522.45

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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.