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Finding the Fourth Proportional to 1,211.92, 1,815.34 and 724.71

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Solution

The fourth proportional to 1,211.92, 1,815.34 and 724.71 is: 1,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.92 : 1,815.34 = 724.71 : x
  2. Step 2: Convert to fraction form
    1,211.92/1,815.34 = 724.71/x
  3. Step 3: Cross multiply
    1,211.92x = 1,815.34 × 724.71
  4. Step 4: Simplify right side
    1,211.92x = 1,315,595.05
  5. Step 5: Solve for x
    x = 1,315,595.05/1,211.92
  6. Step 6: Final answer
    x = 1,085.55

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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.