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Finding the Fourth Proportional to 823.52, 1,235.49 and 361.39

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Solution

The fourth proportional to 823.52, 1,235.49 and 361.39 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.52 : 1,235.49 = 361.39 : x
  2. Step 2: Convert to fraction form
    823.52/1,235.49 = 361.39/x
  3. Step 3: Cross multiply
    823.52x = 1,235.49 × 361.39
  4. Step 4: Simplify right side
    823.52x = 446,493.73
  5. Step 5: Solve for x
    x = 446,493.73/823.52
  6. Step 6: Final answer
    x = 542.18

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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.