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Finding the Fourth Proportional to 831.57, 1,147.73 and 495.56

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Solution

The fourth proportional to 831.57, 1,147.73 and 495.56 is: 683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.57 : 1,147.73 = 495.56 : x
  2. Step 2: Convert to fraction form
    831.57/1,147.73 = 495.56/x
  3. Step 3: Cross multiply
    831.57x = 1,147.73 × 495.56
  4. Step 4: Simplify right side
    831.57x = 568,769.08
  5. Step 5: Solve for x
    x = 568,769.08/831.57
  6. Step 6: Final answer
    x = 683.97

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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.