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Finding the Fourth Proportional to 831.99, 1,247.61 and 254.73

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Solution

The fourth proportional to 831.99, 1,247.61 and 254.73 is: 381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.99 : 1,247.61 = 254.73 : x
  2. Step 2: Convert to fraction form
    831.99/1,247.61 = 254.73/x
  3. Step 3: Cross multiply
    831.99x = 1,247.61 × 254.73
  4. Step 4: Simplify right side
    831.99x = 317,803.70
  5. Step 5: Solve for x
    x = 317,803.70/831.99
  6. Step 6: Final answer
    x = 381.98

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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.