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Finding the Fourth Proportional to 490.20, 734.22 and 478.59

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Solution

The fourth proportional to 490.20, 734.22 and 478.59 is: 716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.20 : 734.22 = 478.59 : x
  2. Step 2: Convert to fraction form
    490.20/734.22 = 478.59/x
  3. Step 3: Cross multiply
    490.20x = 734.22 × 478.59
  4. Step 4: Simplify right side
    490.20x = 351,390.35
  5. Step 5: Solve for x
    x = 351,390.35/490.20
  6. Step 6: Final answer
    x = 716.83

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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.