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Finding the Fourth Proportional to 681.82, 936.16 and 664.00

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Solution

The fourth proportional to 681.82, 936.16 and 664.00 is: 911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.82 : 936.16 = 664.00 : x
  2. Step 2: Convert to fraction form
    681.82/936.16 = 664.00/x
  3. Step 3: Cross multiply
    681.82x = 936.16 × 664.00
  4. Step 4: Simplify right side
    681.82x = 621,606.24
  5. Step 5: Solve for x
    x = 621,606.24/681.82
  6. Step 6: Final answer
    x = 911.69

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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.