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Finding the Fourth Proportional to 680.94, 940.22 and 523.32

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Solution

The fourth proportional to 680.94, 940.22 and 523.32 is: 722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.94 : 940.22 = 523.32 : x
  2. Step 2: Convert to fraction form
    680.94/940.22 = 523.32/x
  3. Step 3: Cross multiply
    680.94x = 940.22 × 523.32
  4. Step 4: Simplify right side
    680.94x = 492,039.98
  5. Step 5: Solve for x
    x = 492,039.98/680.94
  6. Step 6: Final answer
    x = 722.59

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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.