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Finding the Fourth Proportional to 829.55, 1,244.21 and 281.78

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Solution

The fourth proportional to 829.55, 1,244.21 and 281.78 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.55 : 1,244.21 = 281.78 : x
  2. Step 2: Convert to fraction form
    829.55/1,244.21 = 281.78/x
  3. Step 3: Cross multiply
    829.55x = 1,244.21 × 281.78
  4. Step 4: Simplify right side
    829.55x = 350,585.86
  5. Step 5: Solve for x
    x = 350,585.86/829.55
  6. Step 6: Final answer
    x = 422.62

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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.