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Finding the Fourth Proportional to 831.83, 1,247.60 and 254.57

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Solution

The fourth proportional to 831.83, 1,247.60 and 254.57 is: 381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.83 : 1,247.60 = 254.57 : x
  2. Step 2: Convert to fraction form
    831.83/1,247.60 = 254.57/x
  3. Step 3: Cross multiply
    831.83x = 1,247.60 × 254.57
  4. Step 4: Simplify right side
    831.83x = 317,594.02
  5. Step 5: Solve for x
    x = 317,594.02/831.83
  6. Step 6: Final answer
    x = 381.80

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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.