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Finding the Fourth Proportional to 1,229.09, 1,695.03 and 809.09

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Solution

The fourth proportional to 1,229.09, 1,695.03 and 809.09 is: 1,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.09 : 1,695.03 = 809.09 : x
  2. Step 2: Convert to fraction form
    1,229.09/1,695.03 = 809.09/x
  3. Step 3: Cross multiply
    1,229.09x = 1,695.03 × 809.09
  4. Step 4: Simplify right side
    1,229.09x = 1,371,431.82
  5. Step 5: Solve for x
    x = 1,371,431.82/1,229.09
  6. Step 6: Final answer
    x = 1,115.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.