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Finding the Fourth Proportional to 627.52, 864.79 and 599.17

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Solution

The fourth proportional to 627.52, 864.79 and 599.17 is: 825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.52 : 864.79 = 599.17 : x
  2. Step 2: Convert to fraction form
    627.52/864.79 = 599.17/x
  3. Step 3: Cross multiply
    627.52x = 864.79 × 599.17
  4. Step 4: Simplify right side
    627.52x = 518,156.22
  5. Step 5: Solve for x
    x = 518,156.22/627.52
  6. Step 6: Final answer
    x = 825.72

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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.