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Finding the Fourth Proportional to 1,371.98, 2,057.49 and 550.04

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Solution

The fourth proportional to 1,371.98, 2,057.49 and 550.04 is: 824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.98 : 2,057.49 = 550.04 : x
  2. Step 2: Convert to fraction form
    1,371.98/2,057.49 = 550.04/x
  3. Step 3: Cross multiply
    1,371.98x = 2,057.49 × 550.04
  4. Step 4: Simplify right side
    1,371.98x = 1,131,691.51
  5. Step 5: Solve for x
    x = 1,131,691.51/1,371.98
  6. Step 6: Final answer
    x = 824.86

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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.