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Finding the Fourth Proportional to 680.78, 940.00 and 523.16

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Solution

The fourth proportional to 680.78, 940.00 and 523.16 is: 722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.78 : 940.00 = 523.16 : x
  2. Step 2: Convert to fraction form
    680.78/940.00 = 523.16/x
  3. Step 3: Cross multiply
    680.78x = 940.00 × 523.16
  4. Step 4: Simplify right side
    680.78x = 491,769.88
  5. Step 5: Solve for x
    x = 491,769.88/680.78
  6. Step 6: Final answer
    x = 722.37

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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.