Home / 1,882.33-2,823.28-495.78

Finding the Fourth Proportional to 1,882.33, 2,823.28 and 495.78

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Solution

The fourth proportional to 1,882.33, 2,823.28 and 495.78 is: 743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.33 : 2,823.28 = 495.78 : x
  2. Step 2: Convert to fraction form
    1,882.33/2,823.28 = 495.78/x
  3. Step 3: Cross multiply
    1,882.33x = 2,823.28 × 495.78
  4. Step 4: Simplify right side
    1,882.33x = 1,399,713.93
  5. Step 5: Solve for x
    x = 1,399,713.93/1,882.33
  6. Step 6: Final answer
    x = 743.61

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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.