Home / 1,290.44-1,932.55-820.27

Finding the Fourth Proportional to 1,290.44, 1,932.55 and 820.27

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Solution

The fourth proportional to 1,290.44, 1,932.55 and 820.27 is: 1,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.44 : 1,932.55 = 820.27 : x
  2. Step 2: Convert to fraction form
    1,290.44/1,932.55 = 820.27/x
  3. Step 3: Cross multiply
    1,290.44x = 1,932.55 × 820.27
  4. Step 4: Simplify right side
    1,290.44x = 1,585,208.69
  5. Step 5: Solve for x
    x = 1,585,208.69/1,290.44
  6. Step 6: Final answer
    x = 1,228.43

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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.