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Finding the Fourth Proportional to 490.10, 674.78 and 416.30

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Solution

The fourth proportional to 490.10, 674.78 and 416.30 is: 573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.10 : 674.78 = 416.30 : x
  2. Step 2: Convert to fraction form
    490.10/674.78 = 416.30/x
  3. Step 3: Cross multiply
    490.10x = 674.78 × 416.30
  4. Step 4: Simplify right side
    490.10x = 280,910.91
  5. Step 5: Solve for x
    x = 280,910.91/490.10
  6. Step 6: Final answer
    x = 573.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.