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Finding the Fourth Proportional to 490.08, 738.64 and 422.42

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Solution

The fourth proportional to 490.08, 738.64 and 422.42 is: 636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 738.64 = 422.42 : x
  2. Step 2: Convert to fraction form
    490.08/738.64 = 422.42/x
  3. Step 3: Cross multiply
    490.08x = 738.64 × 422.42
  4. Step 4: Simplify right side
    490.08x = 312,010.77
  5. Step 5: Solve for x
    x = 312,010.77/490.08
  6. Step 6: Final answer
    x = 636.66

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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.