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Finding the Fourth Proportional to 1,782.78, 2,673.99 and 550.20

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Solution

The fourth proportional to 1,782.78, 2,673.99 and 550.20 is: 825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.78 : 2,673.99 = 550.20 : x
  2. Step 2: Convert to fraction form
    1,782.78/2,673.99 = 550.20/x
  3. Step 3: Cross multiply
    1,782.78x = 2,673.99 × 550.20
  4. Step 4: Simplify right side
    1,782.78x = 1,471,229.30
  5. Step 5: Solve for x
    x = 1,471,229.30/1,782.78
  6. Step 6: Final answer
    x = 825.24

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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.