Home / 1,227.27-1,840.37-765.03

Finding the Fourth Proportional to 1,227.27, 1,840.37 and 765.03

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Solution

The fourth proportional to 1,227.27, 1,840.37 and 765.03 is: 1,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.27 : 1,840.37 = 765.03 : x
  2. Step 2: Convert to fraction form
    1,227.27/1,840.37 = 765.03/x
  3. Step 3: Cross multiply
    1,227.27x = 1,840.37 × 765.03
  4. Step 4: Simplify right side
    1,227.27x = 1,407,934.44
  5. Step 5: Solve for x
    x = 1,407,934.44/1,227.27
  6. Step 6: Final answer
    x = 1,147.21

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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.