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Finding the Fourth Proportional to 831.88, 1,149.42 and 658.54

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Solution

The fourth proportional to 831.88, 1,149.42 and 658.54 is: 909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.88 : 1,149.42 = 658.54 : x
  2. Step 2: Convert to fraction form
    831.88/1,149.42 = 658.54/x
  3. Step 3: Cross multiply
    831.88x = 1,149.42 × 658.54
  4. Step 4: Simplify right side
    831.88x = 756,939.05
  5. Step 5: Solve for x
    x = 756,939.05/831.88
  6. Step 6: Final answer
    x = 909.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.