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Finding the Fourth Proportional to 821.98, 1,233.18 and 731.37

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Solution

The fourth proportional to 821.98, 1,233.18 and 731.37 is: 1,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.98 : 1,233.18 = 731.37 : x
  2. Step 2: Convert to fraction form
    821.98/1,233.18 = 731.37/x
  3. Step 3: Cross multiply
    821.98x = 1,233.18 × 731.37
  4. Step 4: Simplify right side
    821.98x = 901,910.86
  5. Step 5: Solve for x
    x = 901,910.86/821.98
  6. Step 6: Final answer
    x = 1,097.24

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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.