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Finding the Fourth Proportional to 1,817.92, 2,727.86 and 722.29

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Solution

The fourth proportional to 1,817.92, 2,727.86 and 722.29 is: 1,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.92 : 2,727.86 = 722.29 : x
  2. Step 2: Convert to fraction form
    1,817.92/2,727.86 = 722.29/x
  3. Step 3: Cross multiply
    1,817.92x = 2,727.86 × 722.29
  4. Step 4: Simplify right side
    1,817.92x = 1,970,305.80
  5. Step 5: Solve for x
    x = 1,970,305.80/1,817.92
  6. Step 6: Final answer
    x = 1,083.83

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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.