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Finding the Fourth Proportional to 449.48, 672.32 and 397.19

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Solution

The fourth proportional to 449.48, 672.32 and 397.19 is: 594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.48 : 672.32 = 397.19 : x
  2. Step 2: Convert to fraction form
    449.48/672.32 = 397.19/x
  3. Step 3: Cross multiply
    449.48x = 672.32 × 397.19
  4. Step 4: Simplify right side
    449.48x = 267,041.45
  5. Step 5: Solve for x
    x = 267,041.45/449.48
  6. Step 6: Final answer
    x = 594.11

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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.