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Finding the Fourth Proportional to 490.96, 733.01 and 422.20

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Solution

The fourth proportional to 490.96, 733.01 and 422.20 is: 630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.96 : 733.01 = 422.20 : x
  2. Step 2: Convert to fraction form
    490.96/733.01 = 422.20/x
  3. Step 3: Cross multiply
    490.96x = 733.01 × 422.20
  4. Step 4: Simplify right side
    490.96x = 309,476.82
  5. Step 5: Solve for x
    x = 309,476.82/490.96
  6. Step 6: Final answer
    x = 630.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.