Home / 1,589.97-2,380.32-1,180.92

Finding the Fourth Proportional to 1,589.97, 2,380.32 and 1,180.92

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Solution

The fourth proportional to 1,589.97, 2,380.32 and 1,180.92 is: 1,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.97 : 2,380.32 = 1,180.92 : x
  2. Step 2: Convert to fraction form
    1,589.97/2,380.32 = 1,180.92/x
  3. Step 3: Cross multiply
    1,589.97x = 2,380.32 × 1,180.92
  4. Step 4: Simplify right side
    1,589.97x = 2,810,967.49
  5. Step 5: Solve for x
    x = 2,810,967.49/1,589.97
  6. Step 6: Final answer
    x = 1,767.94

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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.