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Finding the Fourth Proportional to 627.21, 865.15 and 616.28

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Solution

The fourth proportional to 627.21, 865.15 and 616.28 is: 850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.21 : 865.15 = 616.28 : x
  2. Step 2: Convert to fraction form
    627.21/865.15 = 616.28/x
  3. Step 3: Cross multiply
    627.21x = 865.15 × 616.28
  4. Step 4: Simplify right side
    627.21x = 533,168.78
  5. Step 5: Solve for x
    x = 533,168.78/627.21
  6. Step 6: Final answer
    x = 850.06

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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.