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Finding the Fourth Proportional to 490.50, 676.89 and 315.87

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Solution

The fourth proportional to 490.50, 676.89 and 315.87 is: 435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 676.89 = 315.87 : x
  2. Step 2: Convert to fraction form
    490.50/676.89 = 315.87/x
  3. Step 3: Cross multiply
    490.50x = 676.89 × 315.87
  4. Step 4: Simplify right side
    490.50x = 213,809.24
  5. Step 5: Solve for x
    x = 213,809.24/490.50
  6. Step 6: Final answer
    x = 435.90

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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.