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Finding the Fourth Proportional to 627.32, 865.55 and 406.24

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Solution

The fourth proportional to 627.32, 865.55 and 406.24 is: 560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.32 : 865.55 = 406.24 : x
  2. Step 2: Convert to fraction form
    627.32/865.55 = 406.24/x
  3. Step 3: Cross multiply
    627.32x = 865.55 × 406.24
  4. Step 4: Simplify right side
    627.32x = 351,619.88
  5. Step 5: Solve for x
    x = 351,619.88/627.32
  6. Step 6: Final answer
    x = 560.51

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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.