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Finding the Fourth Proportional to 821.89, 1,234.88 and 729.73

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Solution

The fourth proportional to 821.89, 1,234.88 and 729.73 is: 1,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.89 : 1,234.88 = 729.73 : x
  2. Step 2: Convert to fraction form
    821.89/1,234.88 = 729.73/x
  3. Step 3: Cross multiply
    821.89x = 1,234.88 × 729.73
  4. Step 4: Simplify right side
    821.89x = 901,125.33
  5. Step 5: Solve for x
    x = 901,125.33/821.89
  6. Step 6: Final answer
    x = 1,096.41

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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.