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Finding the Fourth Proportional to 805.15, 1,205.76 and 727.24

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Solution

The fourth proportional to 805.15, 1,205.76 and 727.24 is: 1,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.15 : 1,205.76 = 727.24 : x
  2. Step 2: Convert to fraction form
    805.15/1,205.76 = 727.24/x
  3. Step 3: Cross multiply
    805.15x = 1,205.76 × 727.24
  4. Step 4: Simplify right side
    805.15x = 876,876.90
  5. Step 5: Solve for x
    x = 876,876.90/805.15
  6. Step 6: Final answer
    x = 1,089.09

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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.