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Finding the Fourth Proportional to 988.28, 1,479.82 and 831.73

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Solution

The fourth proportional to 988.28, 1,479.82 and 831.73 is: 1,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.28 : 1,479.82 = 831.73 : x
  2. Step 2: Convert to fraction form
    988.28/1,479.82 = 831.73/x
  3. Step 3: Cross multiply
    988.28x = 1,479.82 × 831.73
  4. Step 4: Simplify right side
    988.28x = 1,230,810.69
  5. Step 5: Solve for x
    x = 1,230,810.69/988.28
  6. Step 6: Final answer
    x = 1,245.41

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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.