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Finding the Fourth Proportional to 490.50, 676.89 and 411.39

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Solution

The fourth proportional to 490.50, 676.89 and 411.39 is: 567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 676.89 = 411.39 : x
  2. Step 2: Convert to fraction form
    490.50/676.89 = 411.39/x
  3. Step 3: Cross multiply
    490.50x = 676.89 × 411.39
  4. Step 4: Simplify right side
    490.50x = 278,465.78
  5. Step 5: Solve for x
    x = 278,465.78/490.50
  6. Step 6: Final answer
    x = 567.72

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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.