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Finding the Fourth Proportional to 824.15, 1,235.94 and 361.79

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Solution

The fourth proportional to 824.15, 1,235.94 and 361.79 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.15 : 1,235.94 = 361.79 : x
  2. Step 2: Convert to fraction form
    824.15/1,235.94 = 361.79/x
  3. Step 3: Cross multiply
    824.15x = 1,235.94 × 361.79
  4. Step 4: Simplify right side
    824.15x = 447,150.73
  5. Step 5: Solve for x
    x = 447,150.73/824.15
  6. Step 6: Final answer
    x = 542.56

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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.