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Finding the Fourth Proportional to 2,269.05, 3,403.59 and 809.25

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Solution

The fourth proportional to 2,269.05, 3,403.59 and 809.25 is: 1,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.05 : 3,403.59 = 809.25 : x
  2. Step 2: Convert to fraction form
    2,269.05/3,403.59 = 809.25/x
  3. Step 3: Cross multiply
    2,269.05x = 3,403.59 × 809.25
  4. Step 4: Simplify right side
    2,269.05x = 2,754,355.21
  5. Step 5: Solve for x
    x = 2,754,355.21/2,269.05
  6. Step 6: Final answer
    x = 1,213.88

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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.