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Finding the Fourth Proportional to 490.64, 676.64 and 441.44

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Solution

The fourth proportional to 490.64, 676.64 and 441.44 is: 608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.64 : 676.64 = 441.44 : x
  2. Step 2: Convert to fraction form
    490.64/676.64 = 441.44/x
  3. Step 3: Cross multiply
    490.64x = 676.64 × 441.44
  4. Step 4: Simplify right side
    490.64x = 298,695.96
  5. Step 5: Solve for x
    x = 298,695.96/490.64
  6. Step 6: Final answer
    x = 608.79

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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.