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Finding the Fourth Proportional to 490.41, 676.78 and 315.75

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Solution

The fourth proportional to 490.41, 676.78 and 315.75 is: 435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.41 : 676.78 = 315.75 : x
  2. Step 2: Convert to fraction form
    490.41/676.78 = 315.75/x
  3. Step 3: Cross multiply
    490.41x = 676.78 × 315.75
  4. Step 4: Simplify right side
    490.41x = 213,693.29
  5. Step 5: Solve for x
    x = 213,693.29/490.41
  6. Step 6: Final answer
    x = 435.74

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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.