Home / 1,463.14-2,194.38-422.91

Finding the Fourth Proportional to 1,463.14, 2,194.38 and 422.91

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Solution

The fourth proportional to 1,463.14, 2,194.38 and 422.91 is: 634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.14 : 2,194.38 = 422.91 : x
  2. Step 2: Convert to fraction form
    1,463.14/2,194.38 = 422.91/x
  3. Step 3: Cross multiply
    1,463.14x = 2,194.38 × 422.91
  4. Step 4: Simplify right side
    1,463.14x = 928,021.57
  5. Step 5: Solve for x
    x = 928,021.57/1,463.14
  6. Step 6: Final answer
    x = 634.27

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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.