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Finding the Fourth Proportional to 450.75, 672.17 and 439.82

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Solution

The fourth proportional to 450.75, 672.17 and 439.82 is: 655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 672.17 = 439.82 : x
  2. Step 2: Convert to fraction form
    450.75/672.17 = 439.82/x
  3. Step 3: Cross multiply
    450.75x = 672.17 × 439.82
  4. Step 4: Simplify right side
    450.75x = 295,633.81
  5. Step 5: Solve for x
    x = 295,633.81/450.75
  6. Step 6: Final answer
    x = 655.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.