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Finding the Fourth Proportional to 490.33, 739.01 and 422.67

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Solution

The fourth proportional to 490.33, 739.01 and 422.67 is: 637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.33 : 739.01 = 422.67 : x
  2. Step 2: Convert to fraction form
    490.33/739.01 = 422.67/x
  3. Step 3: Cross multiply
    490.33x = 739.01 × 422.67
  4. Step 4: Simplify right side
    490.33x = 312,354.72
  5. Step 5: Solve for x
    x = 312,354.72/490.33
  6. Step 6: Final answer
    x = 637.04

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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.