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Finding the Fourth Proportional to 490.06, 676.72 and 315.70

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Solution

The fourth proportional to 490.06, 676.72 and 315.70 is: 435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.06 : 676.72 = 315.70 : x
  2. Step 2: Convert to fraction form
    490.06/676.72 = 315.70/x
  3. Step 3: Cross multiply
    490.06x = 676.72 × 315.70
  4. Step 4: Simplify right side
    490.06x = 213,640.50
  5. Step 5: Solve for x
    x = 213,640.50/490.06
  6. Step 6: Final answer
    x = 435.95

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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.