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Finding the Fourth Proportional to 727.66, 1,091.46 and 179.83

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Solution

The fourth proportional to 727.66, 1,091.46 and 179.83 is: 269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.66 : 1,091.46 = 179.83 : x
  2. Step 2: Convert to fraction form
    727.66/1,091.46 = 179.83/x
  3. Step 3: Cross multiply
    727.66x = 1,091.46 × 179.83
  4. Step 4: Simplify right side
    727.66x = 196,277.25
  5. Step 5: Solve for x
    x = 196,277.25/727.66
  6. Step 6: Final answer
    x = 269.74

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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.