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Finding the Fourth Proportional to 829.28, 1,243.92 and 722.36

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Solution

The fourth proportional to 829.28, 1,243.92 and 722.36 is: 1,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.28 : 1,243.92 = 722.36 : x
  2. Step 2: Convert to fraction form
    829.28/1,243.92 = 722.36/x
  3. Step 3: Cross multiply
    829.28x = 1,243.92 × 722.36
  4. Step 4: Simplify right side
    829.28x = 898,558.05
  5. Step 5: Solve for x
    x = 898,558.05/829.28
  6. Step 6: Final answer
    x = 1,083.54

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Similar ratio
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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.