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Finding the Fourth Proportional to 821.92, 1,233.36 and 411.04

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Solution

The fourth proportional to 821.92, 1,233.36 and 411.04 is: 616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.92 : 1,233.36 = 411.04 : x
  2. Step 2: Convert to fraction form
    821.92/1,233.36 = 411.04/x
  3. Step 3: Cross multiply
    821.92x = 1,233.36 × 411.04
  4. Step 4: Simplify right side
    821.92x = 506,960.29
  5. Step 5: Solve for x
    x = 506,960.29/821.92
  6. Step 6: Final answer
    x = 616.80

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Double scale
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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.