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Finding the Fourth Proportional to 660.70, 998.14 and 660.70

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Solution

The fourth proportional to 660.70, 998.14 and 660.70 is: 998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.70 : 998.14 = 660.70 : x
  2. Step 2: Convert to fraction form
    660.70/998.14 = 660.70/x
  3. Step 3: Cross multiply
    660.70x = 998.14 × 660.70
  4. Step 4: Simplify right side
    660.70x = 659,467.79
  5. Step 5: Solve for x
    x = 659,467.79/660.70
  6. Step 6: Final answer
    x = 998.14

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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.