Home / 1,288.54-1,932.81-422.85

Finding the Fourth Proportional to 1,288.54, 1,932.81 and 422.85

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Solution

The fourth proportional to 1,288.54, 1,932.81 and 422.85 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.54 : 1,932.81 = 422.85 : x
  2. Step 2: Convert to fraction form
    1,288.54/1,932.81 = 422.85/x
  3. Step 3: Cross multiply
    1,288.54x = 1,932.81 × 422.85
  4. Step 4: Simplify right side
    1,288.54x = 817,286.59
  5. Step 5: Solve for x
    x = 817,286.59/1,288.54
  6. Step 6: Final answer
    x = 634.28

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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.