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Finding the Fourth Proportional to 727.46, 1,091.20 and 265.24

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Solution

The fourth proportional to 727.46, 1,091.20 and 265.24 is: 397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.46 : 1,091.20 = 265.24 : x
  2. Step 2: Convert to fraction form
    727.46/1,091.20 = 265.24/x
  3. Step 3: Cross multiply
    727.46x = 1,091.20 × 265.24
  4. Step 4: Simplify right side
    727.46x = 289,429.89
  5. Step 5: Solve for x
    x = 289,429.89/727.46
  6. Step 6: Final answer
    x = 397.86

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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.