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Finding the Fourth Proportional to 490.98, 734.73 and 394.11

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Solution

The fourth proportional to 490.98, 734.73 and 394.11 is: 589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 734.73 = 394.11 : x
  2. Step 2: Convert to fraction form
    490.98/734.73 = 394.11/x
  3. Step 3: Cross multiply
    490.98x = 734.73 × 394.11
  4. Step 4: Simplify right side
    490.98x = 289,564.44
  5. Step 5: Solve for x
    x = 289,564.44/490.98
  6. Step 6: Final answer
    x = 589.77

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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.