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Finding the Fourth Proportional to 414.57, 621.04 and 311.97

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Solution

The fourth proportional to 414.57, 621.04 and 311.97 is: 467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 621.04 = 311.97 : x
  2. Step 2: Convert to fraction form
    414.57/621.04 = 311.97/x
  3. Step 3: Cross multiply
    414.57x = 621.04 × 311.97
  4. Step 4: Simplify right side
    414.57x = 193,744.29
  5. Step 5: Solve for x
    x = 193,744.29/414.57
  6. Step 6: Final answer
    x = 467.34

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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.