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Finding the Fourth Proportional to 414.50, 622.66 and 285.10

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Solution

The fourth proportional to 414.50, 622.66 and 285.10 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 622.66 = 285.10 : x
  2. Step 2: Convert to fraction form
    414.50/622.66 = 285.10/x
  3. Step 3: Cross multiply
    414.50x = 622.66 × 285.10
  4. Step 4: Simplify right side
    414.50x = 177,520.37
  5. Step 5: Solve for x
    x = 177,520.37/414.50
  6. Step 6: Final answer
    x = 428.28

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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.