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Finding the Fourth Proportional to 2,267.59, 3,399.32 and 806.40

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Solution

The fourth proportional to 2,267.59, 3,399.32 and 806.40 is: 1,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.59 : 3,399.32 = 806.40 : x
  2. Step 2: Convert to fraction form
    2,267.59/3,399.32 = 806.40/x
  3. Step 3: Cross multiply
    2,267.59x = 3,399.32 × 806.40
  4. Step 4: Simplify right side
    2,267.59x = 2,741,213.66
  5. Step 5: Solve for x
    x = 2,741,213.66/2,267.59
  6. Step 6: Final answer
    x = 1,208.87

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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.