Home / 1,550.11-2,324.80-780.43

Finding the Fourth Proportional to 1,550.11, 2,324.80 and 780.43

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Solution

The fourth proportional to 1,550.11, 2,324.80 and 780.43 is: 1,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.11 : 2,324.80 = 780.43 : x
  2. Step 2: Convert to fraction form
    1,550.11/2,324.80 = 780.43/x
  3. Step 3: Cross multiply
    1,550.11x = 2,324.80 × 780.43
  4. Step 4: Simplify right side
    1,550.11x = 1,814,343.66
  5. Step 5: Solve for x
    x = 1,814,343.66/1,550.11
  6. Step 6: Final answer
    x = 1,170.46

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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.