Home / 1,288.20-1,932.28-422.50

Finding the Fourth Proportional to 1,288.20, 1,932.28 and 422.50

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Solution

The fourth proportional to 1,288.20, 1,932.28 and 422.50 is: 633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.20 : 1,932.28 = 422.50 : x
  2. Step 2: Convert to fraction form
    1,288.20/1,932.28 = 422.50/x
  3. Step 3: Cross multiply
    1,288.20x = 1,932.28 × 422.50
  4. Step 4: Simplify right side
    1,288.20x = 816,388.30
  5. Step 5: Solve for x
    x = 816,388.30/1,288.20
  6. Step 6: Final answer
    x = 633.74

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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.