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Finding the Fourth Proportional to 821.42, 1,229.28 and 673.46

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Solution

The fourth proportional to 821.42, 1,229.28 and 673.46 is: 1,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.42 : 1,229.28 = 673.46 : x
  2. Step 2: Convert to fraction form
    821.42/1,229.28 = 673.46/x
  3. Step 3: Cross multiply
    821.42x = 1,229.28 × 673.46
  4. Step 4: Simplify right side
    821.42x = 827,870.91
  5. Step 5: Solve for x
    x = 827,870.91/821.42
  6. Step 6: Final answer
    x = 1,007.85

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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.