Home / 1,381.28-2,073.44-765.59

Finding the Fourth Proportional to 1,381.28, 2,073.44 and 765.59

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Solution

The fourth proportional to 1,381.28, 2,073.44 and 765.59 is: 1,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.28 : 2,073.44 = 765.59 : x
  2. Step 2: Convert to fraction form
    1,381.28/2,073.44 = 765.59/x
  3. Step 3: Cross multiply
    1,381.28x = 2,073.44 × 765.59
  4. Step 4: Simplify right side
    1,381.28x = 1,587,396.48
  5. Step 5: Solve for x
    x = 1,587,396.48/1,381.28
  6. Step 6: Final answer
    x = 1,149.23

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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.