Home / 1,589.20-2,383.44-767.92

Finding the Fourth Proportional to 1,589.20, 2,383.44 and 767.92

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Solution

The fourth proportional to 1,589.20, 2,383.44 and 767.92 is: 1,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.20 : 2,383.44 = 767.92 : x
  2. Step 2: Convert to fraction form
    1,589.20/2,383.44 = 767.92/x
  3. Step 3: Cross multiply
    1,589.20x = 2,383.44 × 767.92
  4. Step 4: Simplify right side
    1,589.20x = 1,830,291.24
  5. Step 5: Solve for x
    x = 1,830,291.24/1,589.20
  6. Step 6: Final answer
    x = 1,151.71

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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.