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Finding the Fourth Proportional to 800.68, 1,202.28 and 664.60

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Solution

The fourth proportional to 800.68, 1,202.28 and 664.60 is: 997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.68 : 1,202.28 = 664.60 : x
  2. Step 2: Convert to fraction form
    800.68/1,202.28 = 664.60/x
  3. Step 3: Cross multiply
    800.68x = 1,202.28 × 664.60
  4. Step 4: Simplify right side
    800.68x = 799,035.29
  5. Step 5: Solve for x
    x = 799,035.29/800.68
  6. Step 6: Final answer
    x = 997.95

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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.