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Finding the Fourth Proportional to 659.80, 908.22 and 659.80

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Solution

The fourth proportional to 659.80, 908.22 and 659.80 is: 908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.80 : 908.22 = 659.80 : x
  2. Step 2: Convert to fraction form
    659.80/908.22 = 659.80/x
  3. Step 3: Cross multiply
    659.80x = 908.22 × 659.80
  4. Step 4: Simplify right side
    659.80x = 599,243.56
  5. Step 5: Solve for x
    x = 599,243.56/659.80
  6. Step 6: Final answer
    x = 908.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.