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Finding the Fourth Proportional to 490.89, 676.70 and 313.83

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Solution

The fourth proportional to 490.89, 676.70 and 313.83 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.89 : 676.70 = 313.83 : x
  2. Step 2: Convert to fraction form
    490.89/676.70 = 313.83/x
  3. Step 3: Cross multiply
    490.89x = 676.70 × 313.83
  4. Step 4: Simplify right side
    490.89x = 212,367.35
  5. Step 5: Solve for x
    x = 212,367.35/490.89
  6. Step 6: Final answer
    x = 432.62

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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.