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Finding the Fourth Proportional to 829.67, 1,243.90 and 281.71

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Solution

The fourth proportional to 829.67, 1,243.90 and 281.71 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.67 : 1,243.90 = 281.71 : x
  2. Step 2: Convert to fraction form
    829.67/1,243.90 = 281.71/x
  3. Step 3: Cross multiply
    829.67x = 1,243.90 × 281.71
  4. Step 4: Simplify right side
    829.67x = 350,411.44
  5. Step 5: Solve for x
    x = 350,411.44/829.67
  6. Step 6: Final answer
    x = 422.35

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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.