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Finding the Fourth Proportional to 627.12, 865.32 and 378.38

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Solution

The fourth proportional to 627.12, 865.32 and 378.38 is: 522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.12 : 865.32 = 378.38 : x
  2. Step 2: Convert to fraction form
    627.12/865.32 = 378.38/x
  3. Step 3: Cross multiply
    627.12x = 865.32 × 378.38
  4. Step 4: Simplify right side
    627.12x = 327,419.78
  5. Step 5: Solve for x
    x = 327,419.78/627.12
  6. Step 6: Final answer
    x = 522.10

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Double scale
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1.5x scale

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.