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Finding the Fourth Proportional to 831.33, 1,147.77 and 743.85

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Solution

The fourth proportional to 831.33, 1,147.77 and 743.85 is: 1,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.33 : 1,147.77 = 743.85 : x
  2. Step 2: Convert to fraction form
    831.33/1,147.77 = 743.85/x
  3. Step 3: Cross multiply
    831.33x = 1,147.77 × 743.85
  4. Step 4: Simplify right side
    831.33x = 853,768.71
  5. Step 5: Solve for x
    x = 853,768.71/831.33
  6. Step 6: Final answer
    x = 1,026.99

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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.