Home / 1,162.28-1,743.36-296.54

Finding the Fourth Proportional to 1,162.28, 1,743.36 and 296.54

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Solution

The fourth proportional to 1,162.28, 1,743.36 and 296.54 is: 444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.28 : 1,743.36 = 296.54 : x
  2. Step 2: Convert to fraction form
    1,162.28/1,743.36 = 296.54/x
  3. Step 3: Cross multiply
    1,162.28x = 1,743.36 × 296.54
  4. Step 4: Simplify right side
    1,162.28x = 516,975.97
  5. Step 5: Solve for x
    x = 516,975.97/1,162.28
  6. Step 6: Final answer
    x = 444.79

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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.