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Finding the Fourth Proportional to 490.16, 737.91 and 447.10

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Solution

The fourth proportional to 490.16, 737.91 and 447.10 is: 673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 737.91 = 447.10 : x
  2. Step 2: Convert to fraction form
    490.16/737.91 = 447.10/x
  3. Step 3: Cross multiply
    490.16x = 737.91 × 447.10
  4. Step 4: Simplify right side
    490.16x = 329,919.56
  5. Step 5: Solve for x
    x = 329,919.56/490.16
  6. Step 6: Final answer
    x = 673.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.