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Finding the Fourth Proportional to 831.77, 1,247.87 and 246.78

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Solution

The fourth proportional to 831.77, 1,247.87 and 246.78 is: 370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.77 : 1,247.87 = 246.78 : x
  2. Step 2: Convert to fraction form
    831.77/1,247.87 = 246.78/x
  3. Step 3: Cross multiply
    831.77x = 1,247.87 × 246.78
  4. Step 4: Simplify right side
    831.77x = 307,947.08
  5. Step 5: Solve for x
    x = 307,947.08/831.77
  6. Step 6: Final answer
    x = 370.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.