Home / 1,288.06-1,932.30-422.20

Finding the Fourth Proportional to 1,288.06, 1,932.30 and 422.20

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Solution

The fourth proportional to 1,288.06, 1,932.30 and 422.20 is: 633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.06 : 1,932.30 = 422.20 : x
  2. Step 2: Convert to fraction form
    1,288.06/1,932.30 = 422.20/x
  3. Step 3: Cross multiply
    1,288.06x = 1,932.30 × 422.20
  4. Step 4: Simplify right side
    1,288.06x = 815,817.06
  5. Step 5: Solve for x
    x = 815,817.06/1,288.06
  6. Step 6: Final answer
    x = 633.37

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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.