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Finding the Fourth Proportional to 943.23, 1,414.84 and 422.94

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Solution

The fourth proportional to 943.23, 1,414.84 and 422.94 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.23 : 1,414.84 = 422.94 : x
  2. Step 2: Convert to fraction form
    943.23/1,414.84 = 422.94/x
  3. Step 3: Cross multiply
    943.23x = 1,414.84 × 422.94
  4. Step 4: Simplify right side
    943.23x = 598,395.73
  5. Step 5: Solve for x
    x = 598,395.73/943.23
  6. Step 6: Final answer
    x = 634.41

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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.