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Finding the Fourth Proportional to 438.58, 659.07 and 422.38

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Solution

The fourth proportional to 438.58, 659.07 and 422.38 is: 634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.58 : 659.07 = 422.38 : x
  2. Step 2: Convert to fraction form
    438.58/659.07 = 422.38/x
  3. Step 3: Cross multiply
    438.58x = 659.07 × 422.38
  4. Step 4: Simplify right side
    438.58x = 278,377.99
  5. Step 5: Solve for x
    x = 278,377.99/438.58
  6. Step 6: Final answer
    x = 634.73

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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.