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Finding the Fourth Proportional to 1,200.24, 1,799.49 and 809.28

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Solution

The fourth proportional to 1,200.24, 1,799.49 and 809.28 is: 1,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.24 : 1,799.49 = 809.28 : x
  2. Step 2: Convert to fraction form
    1,200.24/1,799.49 = 809.28/x
  3. Step 3: Cross multiply
    1,200.24x = 1,799.49 × 809.28
  4. Step 4: Simplify right side
    1,200.24x = 1,456,291.27
  5. Step 5: Solve for x
    x = 1,456,291.27/1,200.24
  6. Step 6: Final answer
    x = 1,213.33

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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.