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Finding the Fourth Proportional to 441.32, 658.89 and 397.58

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Solution

The fourth proportional to 441.32, 658.89 and 397.58 is: 593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.32 : 658.89 = 397.58 : x
  2. Step 2: Convert to fraction form
    441.32/658.89 = 397.58/x
  3. Step 3: Cross multiply
    441.32x = 658.89 × 397.58
  4. Step 4: Simplify right side
    441.32x = 261,958.19
  5. Step 5: Solve for x
    x = 261,958.19/441.32
  6. Step 6: Final answer
    x = 593.59

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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.