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Finding the Fourth Proportional to 824.39, 1,236.92 and 361.93

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Solution

The fourth proportional to 824.39, 1,236.92 and 361.93 is: 543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.39 : 1,236.92 = 361.93 : x
  2. Step 2: Convert to fraction form
    824.39/1,236.92 = 361.93/x
  3. Step 3: Cross multiply
    824.39x = 1,236.92 × 361.93
  4. Step 4: Simplify right side
    824.39x = 447,676.27
  5. Step 5: Solve for x
    x = 447,676.27/824.39
  6. Step 6: Final answer
    x = 543.04

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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.