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Finding the Fourth Proportional to 661.96, 998.72 and 660.14

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Solution

The fourth proportional to 661.96, 998.72 and 660.14 is: 995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.96 : 998.72 = 660.14 : x
  2. Step 2: Convert to fraction form
    661.96/998.72 = 660.14/x
  3. Step 3: Cross multiply
    661.96x = 998.72 × 660.14
  4. Step 4: Simplify right side
    661.96x = 659,295.02
  5. Step 5: Solve for x
    x = 659,295.02/661.96
  6. Step 6: Final answer
    x = 995.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.