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Finding the Fourth Proportional to 1,782.87, 2,674.56 and 550.17

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Solution

The fourth proportional to 1,782.87, 2,674.56 and 550.17 is: 825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.87 : 2,674.56 = 550.17 : x
  2. Step 2: Convert to fraction form
    1,782.87/2,674.56 = 550.17/x
  3. Step 3: Cross multiply
    1,782.87x = 2,674.56 × 550.17
  4. Step 4: Simplify right side
    1,782.87x = 1,471,462.68
  5. Step 5: Solve for x
    x = 1,471,462.68/1,782.87
  6. Step 6: Final answer
    x = 825.33

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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.