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Finding the Fourth Proportional to 831.76, 1,247.68 and 283.90

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Solution

The fourth proportional to 831.76, 1,247.68 and 283.90 is: 425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.76 : 1,247.68 = 283.90 : x
  2. Step 2: Convert to fraction form
    831.76/1,247.68 = 283.90/x
  3. Step 3: Cross multiply
    831.76x = 1,247.68 × 283.90
  4. Step 4: Simplify right side
    831.76x = 354,216.35
  5. Step 5: Solve for x
    x = 354,216.35/831.76
  6. Step 6: Final answer
    x = 425.86

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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.