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Finding the Fourth Proportional to 1,550.44, 2,326.88 and 809.29

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Solution

The fourth proportional to 1,550.44, 2,326.88 and 809.29 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.44 : 2,326.88 = 809.29 : x
  2. Step 2: Convert to fraction form
    1,550.44/2,326.88 = 809.29/x
  3. Step 3: Cross multiply
    1,550.44x = 2,326.88 × 809.29
  4. Step 4: Simplify right side
    1,550.44x = 1,883,120.72
  5. Step 5: Solve for x
    x = 1,883,120.72/1,550.44
  6. Step 6: Final answer
    x = 1,214.57

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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.