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Finding the Fourth Proportional to 447.90, 672.46 and 438.38

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Solution

The fourth proportional to 447.90, 672.46 and 438.38 is: 658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.90 : 672.46 = 438.38 : x
  2. Step 2: Convert to fraction form
    447.90/672.46 = 438.38/x
  3. Step 3: Cross multiply
    447.90x = 672.46 × 438.38
  4. Step 4: Simplify right side
    447.90x = 294,793.01
  5. Step 5: Solve for x
    x = 294,793.01/447.90
  6. Step 6: Final answer
    x = 658.17

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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.