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Finding the Fourth Proportional to 627.27, 865.81 and 378.55

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Solution

The fourth proportional to 627.27, 865.81 and 378.55 is: 522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.27 : 865.81 = 378.55 : x
  2. Step 2: Convert to fraction form
    627.27/865.81 = 378.55/x
  3. Step 3: Cross multiply
    627.27x = 865.81 × 378.55
  4. Step 4: Simplify right side
    627.27x = 327,750.50
  5. Step 5: Solve for x
    x = 327,750.50/627.27
  6. Step 6: Final answer
    x = 522.50

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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.