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Finding the Fourth Proportional to 490.29, 734.02 and 381.75

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Solution

The fourth proportional to 490.29, 734.02 and 381.75 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.29 : 734.02 = 381.75 : x
  2. Step 2: Convert to fraction form
    490.29/734.02 = 381.75/x
  3. Step 3: Cross multiply
    490.29x = 734.02 × 381.75
  4. Step 4: Simplify right side
    490.29x = 280,213.02
  5. Step 5: Solve for x
    x = 280,213.02/490.29
  6. Step 6: Final answer
    x = 571.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.