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Finding the Fourth Proportional to 943.24, 1,414.39 and 326.98

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Solution

The fourth proportional to 943.24, 1,414.39 and 326.98 is: 490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.24 : 1,414.39 = 326.98 : x
  2. Step 2: Convert to fraction form
    943.24/1,414.39 = 326.98/x
  3. Step 3: Cross multiply
    943.24x = 1,414.39 × 326.98
  4. Step 4: Simplify right side
    943.24x = 462,477.24
  5. Step 5: Solve for x
    x = 462,477.24/943.24
  6. Step 6: Final answer
    x = 490.31

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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.