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Finding the Fourth Proportional to 1,144.88, 1,717.98 and 495.68

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Solution

The fourth proportional to 1,144.88, 1,717.98 and 495.68 is: 743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.88 : 1,717.98 = 495.68 : x
  2. Step 2: Convert to fraction form
    1,144.88/1,717.98 = 495.68/x
  3. Step 3: Cross multiply
    1,144.88x = 1,717.98 × 495.68
  4. Step 4: Simplify right side
    1,144.88x = 851,568.33
  5. Step 5: Solve for x
    x = 851,568.33/1,144.88
  6. Step 6: Final answer
    x = 743.81

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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.