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Finding the Fourth Proportional to 828.92, 1,243.98 and 396.38

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Solution

The fourth proportional to 828.92, 1,243.98 and 396.38 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.92 : 1,243.98 = 396.38 : x
  2. Step 2: Convert to fraction form
    828.92/1,243.98 = 396.38/x
  3. Step 3: Cross multiply
    828.92x = 1,243.98 × 396.38
  4. Step 4: Simplify right side
    828.92x = 493,082.57
  5. Step 5: Solve for x
    x = 493,082.57/828.92
  6. Step 6: Final answer
    x = 594.85

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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.