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Finding the Fourth Proportional to 682.20, 935.88 and 640.29

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Solution

The fourth proportional to 682.20, 935.88 and 640.29 is: 878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 935.88 = 640.29 : x
  2. Step 2: Convert to fraction form
    682.20/935.88 = 640.29/x
  3. Step 3: Cross multiply
    682.20x = 935.88 × 640.29
  4. Step 4: Simplify right side
    682.20x = 599,234.61
  5. Step 5: Solve for x
    x = 599,234.61/682.20
  6. Step 6: Final answer
    x = 878.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.