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Finding the Fourth Proportional to 627.47, 865.53 and 378.64

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Solution

The fourth proportional to 627.47, 865.53 and 378.64 is: 522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.47 : 865.53 = 378.64 : x
  2. Step 2: Convert to fraction form
    627.47/865.53 = 378.64/x
  3. Step 3: Cross multiply
    627.47x = 865.53 × 378.64
  4. Step 4: Simplify right side
    627.47x = 327,724.28
  5. Step 5: Solve for x
    x = 327,724.28/627.47
  6. Step 6: Final answer
    x = 522.29

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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.