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Finding the Fourth Proportional to 829.43, 1,243.33 and 463.41

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Solution

The fourth proportional to 829.43, 1,243.33 and 463.41 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.43 : 1,243.33 = 463.41 : x
  2. Step 2: Convert to fraction form
    829.43/1,243.33 = 463.41/x
  3. Step 3: Cross multiply
    829.43x = 1,243.33 × 463.41
  4. Step 4: Simplify right side
    829.43x = 576,171.56
  5. Step 5: Solve for x
    x = 576,171.56/829.43
  6. Step 6: Final answer
    x = 694.66

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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.