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Finding the Fourth Proportional to 1,782.62, 2,672.49 and 743.41

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Solution

The fourth proportional to 1,782.62, 2,672.49 and 743.41 is: 1,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.62 : 2,672.49 = 743.41 : x
  2. Step 2: Convert to fraction form
    1,782.62/2,672.49 = 743.41/x
  3. Step 3: Cross multiply
    1,782.62x = 2,672.49 × 743.41
  4. Step 4: Simplify right side
    1,782.62x = 1,986,744.10
  5. Step 5: Solve for x
    x = 1,986,744.10/1,782.62
  6. Step 6: Final answer
    x = 1,114.51

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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.