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Finding the Fourth Proportional to 681.48, 940.97 and 523.87

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Solution

The fourth proportional to 681.48, 940.97 and 523.87 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.48 : 940.97 = 523.87 : x
  2. Step 2: Convert to fraction form
    681.48/940.97 = 523.87/x
  3. Step 3: Cross multiply
    681.48x = 940.97 × 523.87
  4. Step 4: Simplify right side
    681.48x = 492,944.91
  5. Step 5: Solve for x
    x = 492,944.91/681.48
  6. Step 6: Final answer
    x = 723.34

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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.