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Finding the Fourth Proportional to 441.29, 658.80 and 392.69

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Solution

The fourth proportional to 441.29, 658.80 and 392.69 is: 586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.29 : 658.80 = 392.69 : x
  2. Step 2: Convert to fraction form
    441.29/658.80 = 392.69/x
  3. Step 3: Cross multiply
    441.29x = 658.80 × 392.69
  4. Step 4: Simplify right side
    441.29x = 258,704.17
  5. Step 5: Solve for x
    x = 258,704.17/441.29
  6. Step 6: Final answer
    x = 586.25

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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.