Home / 1,456.54-2,182.66-725.11

Finding the Fourth Proportional to 1,456.54, 2,182.66 and 725.11

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Solution

The fourth proportional to 1,456.54, 2,182.66 and 725.11 is: 1,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.54 : 2,182.66 = 725.11 : x
  2. Step 2: Convert to fraction form
    1,456.54/2,182.66 = 725.11/x
  3. Step 3: Cross multiply
    1,456.54x = 2,182.66 × 725.11
  4. Step 4: Simplify right side
    1,456.54x = 1,582,668.59
  5. Step 5: Solve for x
    x = 1,582,668.59/1,456.54
  6. Step 6: Final answer
    x = 1,086.59

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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.