Home / 727.20-1,091.28-414.96

Finding the Fourth Proportional to 727.20, 1,091.28 and 414.96

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Solution

The fourth proportional to 727.20, 1,091.28 and 414.96 is: 622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.20 : 1,091.28 = 414.96 : x
  2. Step 2: Convert to fraction form
    727.20/1,091.28 = 414.96/x
  3. Step 3: Cross multiply
    727.20x = 1,091.28 × 414.96
  4. Step 4: Simplify right side
    727.20x = 452,837.55
  5. Step 5: Solve for x
    x = 452,837.55/727.20
  6. Step 6: Final answer
    x = 622.71

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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.