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Finding the Fourth Proportional to 824.19, 1,235.85 and 361.73

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Solution

The fourth proportional to 824.19, 1,235.85 and 361.73 is: 542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.19 : 1,235.85 = 361.73 : x
  2. Step 2: Convert to fraction form
    824.19/1,235.85 = 361.73/x
  3. Step 3: Cross multiply
    824.19x = 1,235.85 × 361.73
  4. Step 4: Simplify right side
    824.19x = 447,037.84
  5. Step 5: Solve for x
    x = 447,037.84/824.19
  6. Step 6: Final answer
    x = 542.40

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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.