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Finding the Fourth Proportional to 457.45, 627.17 and 449.26

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Solution

The fourth proportional to 457.45, 627.17 and 449.26 is: 615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.45 : 627.17 = 449.26 : x
  2. Step 2: Convert to fraction form
    457.45/627.17 = 449.26/x
  3. Step 3: Cross multiply
    457.45x = 627.17 × 449.26
  4. Step 4: Simplify right side
    457.45x = 281,758.58
  5. Step 5: Solve for x
    x = 281,758.58/457.45
  6. Step 6: Final answer
    x = 615.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.