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Finding the Fourth Proportional to 831.63, 1,149.08 and 658.29

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Solution

The fourth proportional to 831.63, 1,149.08 and 658.29 is: 909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.63 : 1,149.08 = 658.29 : x
  2. Step 2: Convert to fraction form
    831.63/1,149.08 = 658.29/x
  3. Step 3: Cross multiply
    831.63x = 1,149.08 × 658.29
  4. Step 4: Simplify right side
    831.63x = 756,424.58
  5. Step 5: Solve for x
    x = 756,424.58/831.63
  6. Step 6: Final answer
    x = 909.57

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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.