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Finding the Fourth Proportional to 824.97, 1,236.96 and 386.04

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Solution

The fourth proportional to 824.97, 1,236.96 and 386.04 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.97 : 1,236.96 = 386.04 : x
  2. Step 2: Convert to fraction form
    824.97/1,236.96 = 386.04/x
  3. Step 3: Cross multiply
    824.97x = 1,236.96 × 386.04
  4. Step 4: Simplify right side
    824.97x = 477,516.04
  5. Step 5: Solve for x
    x = 477,516.04/824.97
  6. Step 6: Final answer
    x = 578.83

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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.