Home / 1,769.29-2,441.88-1,023.28

Finding the Fourth Proportional to 1,769.29, 2,441.88 and 1,023.28

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Solution

The fourth proportional to 1,769.29, 2,441.88 and 1,023.28 is: 1,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.29 : 2,441.88 = 1,023.28 : x
  2. Step 2: Convert to fraction form
    1,769.29/2,441.88 = 1,023.28/x
  3. Step 3: Cross multiply
    1,769.29x = 2,441.88 × 1,023.28
  4. Step 4: Simplify right side
    1,769.29x = 2,498,720.86
  5. Step 5: Solve for x
    x = 2,498,720.86/1,769.29
  6. Step 6: Final answer
    x = 1,412.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.