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Finding the Fourth Proportional to 490.96, 678 and 461.80

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Solution

The fourth proportional to 490.96, 678 and 461.80 is: 637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.96 : 678 = 461.80 : x
  2. Step 2: Convert to fraction form
    490.96/678 = 461.80/x
  3. Step 3: Cross multiply
    490.96x = 678 × 461.80
  4. Step 4: Simplify right side
    490.96x = 313,100.40
  5. Step 5: Solve for x
    x = 313,100.40/490.96
  6. Step 6: Final answer
    x = 637.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.