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Finding the Fourth Proportional to 490.34, 739.16 and 422.42

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Solution

The fourth proportional to 490.34, 739.16 and 422.42 is: 636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 739.16 = 422.42 : x
  2. Step 2: Convert to fraction form
    490.34/739.16 = 422.42/x
  3. Step 3: Cross multiply
    490.34x = 739.16 × 422.42
  4. Step 4: Simplify right side
    490.34x = 312,233.86
  5. Step 5: Solve for x
    x = 312,233.86/490.34
  6. Step 6: Final answer
    x = 636.77

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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.