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Finding the Fourth Proportional to 664.20, 911.97 and 664.20

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Solution

The fourth proportional to 664.20, 911.97 and 664.20 is: 911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 911.97 = 664.20 : x
  2. Step 2: Convert to fraction form
    664.20/911.97 = 664.20/x
  3. Step 3: Cross multiply
    664.20x = 911.97 × 664.20
  4. Step 4: Simplify right side
    664.20x = 605,730.47
  5. Step 5: Solve for x
    x = 605,730.47/664.20
  6. Step 6: Final answer
    x = 911.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.