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Finding the Fourth Proportional to 984.50, 1,476.75 and 281.71

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Solution

The fourth proportional to 984.50, 1,476.75 and 281.71 is: 422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.50 : 1,476.75 = 281.71 : x
  2. Step 2: Convert to fraction form
    984.50/1,476.75 = 281.71/x
  3. Step 3: Cross multiply
    984.50x = 1,476.75 × 281.71
  4. Step 4: Simplify right side
    984.50x = 416,007.86
  5. Step 5: Solve for x
    x = 416,007.86/984.50
  6. Step 6: Final answer
    x = 422.56

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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.