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Finding the Fourth Proportional to 2,290.38, 3,435.96 and 809.19

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Solution

The fourth proportional to 2,290.38, 3,435.96 and 809.19 is: 1,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.38 : 3,435.96 = 809.19 : x
  2. Step 2: Convert to fraction form
    2,290.38/3,435.96 = 809.19/x
  3. Step 3: Cross multiply
    2,290.38x = 3,435.96 × 809.19
  4. Step 4: Simplify right side
    2,290.38x = 2,780,344.47
  5. Step 5: Solve for x
    x = 2,780,344.47/2,290.38
  6. Step 6: Final answer
    x = 1,213.92

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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.