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Finding the Fourth Proportional to 414.45, 622.13 and 277.79

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Solution

The fourth proportional to 414.45, 622.13 and 277.79 is: 416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.45 : 622.13 = 277.79 : x
  2. Step 2: Convert to fraction form
    414.45/622.13 = 277.79/x
  3. Step 3: Cross multiply
    414.45x = 622.13 × 277.79
  4. Step 4: Simplify right side
    414.45x = 172,821.49
  5. Step 5: Solve for x
    x = 172,821.49/414.45
  6. Step 6: Final answer
    x = 416.99

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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.