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Finding the Fourth Proportional to 457.40, 630.82 and 326.18

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Solution

The fourth proportional to 457.40, 630.82 and 326.18 is: 449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 630.82 = 326.18 : x
  2. Step 2: Convert to fraction form
    457.40/630.82 = 326.18/x
  3. Step 3: Cross multiply
    457.40x = 630.82 × 326.18
  4. Step 4: Simplify right side
    457.40x = 205,760.87
  5. Step 5: Solve for x
    x = 205,760.87/457.40
  6. Step 6: Final answer
    x = 449.85

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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.