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Finding the Fourth Proportional to 682.62, 1,025.34 and 664.39

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Solution

The fourth proportional to 682.62, 1,025.34 and 664.39 is: 997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 1,025.34 = 664.39 : x
  2. Step 2: Convert to fraction form
    682.62/1,025.34 = 664.39/x
  3. Step 3: Cross multiply
    682.62x = 1,025.34 × 664.39
  4. Step 4: Simplify right side
    682.62x = 681,225.64
  5. Step 5: Solve for x
    x = 681,225.64/682.62
  6. Step 6: Final answer
    x = 997.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.