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Finding the Fourth Proportional to 943.30, 1,414.21 and 456.22

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Solution

The fourth proportional to 943.30, 1,414.21 and 456.22 is: 683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.30 : 1,414.21 = 456.22 : x
  2. Step 2: Convert to fraction form
    943.30/1,414.21 = 456.22/x
  3. Step 3: Cross multiply
    943.30x = 1,414.21 × 456.22
  4. Step 4: Simplify right side
    943.30x = 645,190.89
  5. Step 5: Solve for x
    x = 645,190.89/943.30
  6. Step 6: Final answer
    x = 683.97

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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.