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Finding the Fourth Proportional to 2,144.75, 3,217.44 and 605.75

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Solution

The fourth proportional to 2,144.75, 3,217.44 and 605.75 is: 908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.75 : 3,217.44 = 605.75 : x
  2. Step 2: Convert to fraction form
    2,144.75/3,217.44 = 605.75/x
  3. Step 3: Cross multiply
    2,144.75x = 3,217.44 × 605.75
  4. Step 4: Simplify right side
    2,144.75x = 1,948,964.28
  5. Step 5: Solve for x
    x = 1,948,964.28/2,144.75
  6. Step 6: Final answer
    x = 908.71

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1.5x scale

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.