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Finding the Fourth Proportional to 2,255.20, 3,383.07 and 794.05

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Solution

The fourth proportional to 2,255.20, 3,383.07 and 794.05 is: 1,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.20 : 3,383.07 = 794.05 : x
  2. Step 2: Convert to fraction form
    2,255.20/3,383.07 = 794.05/x
  3. Step 3: Cross multiply
    2,255.20x = 3,383.07 × 794.05
  4. Step 4: Simplify right side
    2,255.20x = 2,686,305.85
  5. Step 5: Solve for x
    x = 2,686,305.85/2,255.20
  6. Step 6: Final answer
    x = 1,191.16

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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.