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Finding the Fourth Proportional to 821.44, 1,230.40 and 729.12

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Solution

The fourth proportional to 821.44, 1,230.40 and 729.12 is: 1,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.44 : 1,230.40 = 729.12 : x
  2. Step 2: Convert to fraction form
    821.44/1,230.40 = 729.12/x
  3. Step 3: Cross multiply
    821.44x = 1,230.40 × 729.12
  4. Step 4: Simplify right side
    821.44x = 897,109.25
  5. Step 5: Solve for x
    x = 897,109.25/821.44
  6. Step 6: Final answer
    x = 1,092.12

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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.