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Finding the Fourth Proportional to 490.95, 677.03 and 331.78

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Solution

The fourth proportional to 490.95, 677.03 and 331.78 is: 457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.95 : 677.03 = 331.78 : x
  2. Step 2: Convert to fraction form
    490.95/677.03 = 331.78/x
  3. Step 3: Cross multiply
    490.95x = 677.03 × 331.78
  4. Step 4: Simplify right side
    490.95x = 224,625.01
  5. Step 5: Solve for x
    x = 224,625.01/490.95
  6. Step 6: Final answer
    x = 457.53

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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.