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Finding the Fourth Proportional to 943.45, 1,414.65 and 327.10

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Solution

The fourth proportional to 943.45, 1,414.65 and 327.10 is: 490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.45 : 1,414.65 = 327.10 : x
  2. Step 2: Convert to fraction form
    943.45/1,414.65 = 327.10/x
  3. Step 3: Cross multiply
    943.45x = 1,414.65 × 327.10
  4. Step 4: Simplify right side
    943.45x = 462,724.94
  5. Step 5: Solve for x
    x = 462,724.94/943.45
  6. Step 6: Final answer
    x = 490.46

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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.