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Finding the Fourth Proportional to 627.12, 865.08 and 452.16

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Solution

The fourth proportional to 627.12, 865.08 and 452.16 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.12 : 865.08 = 452.16 : x
  2. Step 2: Convert to fraction form
    627.12/865.08 = 452.16/x
  3. Step 3: Cross multiply
    627.12x = 865.08 × 452.16
  4. Step 4: Simplify right side
    627.12x = 391,154.57
  5. Step 5: Solve for x
    x = 391,154.57/627.12
  6. Step 6: Final answer
    x = 623.73

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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.