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Finding the Fourth Proportional to 490.49, 734.37 and 409.62

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Solution

The fourth proportional to 490.49, 734.37 and 409.62 is: 613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.49 : 734.37 = 409.62 : x
  2. Step 2: Convert to fraction form
    490.49/734.37 = 409.62/x
  3. Step 3: Cross multiply
    490.49x = 734.37 × 409.62
  4. Step 4: Simplify right side
    490.49x = 300,812.64
  5. Step 5: Solve for x
    x = 300,812.64/490.49
  6. Step 6: Final answer
    x = 613.30

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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.