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Finding the Fourth Proportional to 729.45, 1,085.42 and 727.02

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Solution

The fourth proportional to 729.45, 1,085.42 and 727.02 is: 1,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.45 : 1,085.42 = 727.02 : x
  2. Step 2: Convert to fraction form
    729.45/1,085.42 = 727.02/x
  3. Step 3: Cross multiply
    729.45x = 1,085.42 × 727.02
  4. Step 4: Simplify right side
    729.45x = 789,118.41
  5. Step 5: Solve for x
    x = 789,118.41/729.45
  6. Step 6: Final answer
    x = 1,081.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.