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Finding the Fourth Proportional to 2,198.25, 3,297.42 and 900.63

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Solution

The fourth proportional to 2,198.25, 3,297.42 and 900.63 is: 1,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.25 : 3,297.42 = 900.63 : x
  2. Step 2: Convert to fraction form
    2,198.25/3,297.42 = 900.63/x
  3. Step 3: Cross multiply
    2,198.25x = 3,297.42 × 900.63
  4. Step 4: Simplify right side
    2,198.25x = 2,969,755.37
  5. Step 5: Solve for x
    x = 2,969,755.37/2,198.25
  6. Step 6: Final answer
    x = 1,350.96

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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.