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Finding the Fourth Proportional to 457.32, 626.99 and 449.13

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Solution

The fourth proportional to 457.32, 626.99 and 449.13 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.32 : 626.99 = 449.13 : x
  2. Step 2: Convert to fraction form
    457.32/626.99 = 449.13/x
  3. Step 3: Cross multiply
    457.32x = 626.99 × 449.13
  4. Step 4: Simplify right side
    457.32x = 281,600.02
  5. Step 5: Solve for x
    x = 281,600.02/457.32
  6. Step 6: Final answer
    x = 615.76

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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.