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Finding the Fourth Proportional to 490.56, 734.43 and 452.28

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Solution

The fourth proportional to 490.56, 734.43 and 452.28 is: 677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 734.43 = 452.28 : x
  2. Step 2: Convert to fraction form
    490.56/734.43 = 452.28/x
  3. Step 3: Cross multiply
    490.56x = 734.43 × 452.28
  4. Step 4: Simplify right side
    490.56x = 332,168.00
  5. Step 5: Solve for x
    x = 332,168.00/490.56
  6. Step 6: Final answer
    x = 677.12

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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.