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Finding the Fourth Proportional to 449.34, 672.72 and 397.90

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Solution

The fourth proportional to 449.34, 672.72 and 397.90 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 672.72 = 397.90 : x
  2. Step 2: Convert to fraction form
    449.34/672.72 = 397.90/x
  3. Step 3: Cross multiply
    449.34x = 672.72 × 397.90
  4. Step 4: Simplify right side
    449.34x = 267,675.29
  5. Step 5: Solve for x
    x = 267,675.29/449.34
  6. Step 6: Final answer
    x = 595.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.