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Finding the Fourth Proportional to 2,144.25, 3,216.92 and 605.25

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Solution

The fourth proportional to 2,144.25, 3,216.92 and 605.25 is: 908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.25 : 3,216.92 = 605.25 : x
  2. Step 2: Convert to fraction form
    2,144.25/3,216.92 = 605.25/x
  3. Step 3: Cross multiply
    2,144.25x = 3,216.92 × 605.25
  4. Step 4: Simplify right side
    2,144.25x = 1,947,037.80
  5. Step 5: Solve for x
    x = 1,947,037.80/2,144.25
  6. Step 6: Final answer
    x = 908.03

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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.