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Finding the Fourth Proportional to 506.34, 694.22 and 496.62

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Solution

The fourth proportional to 506.34, 694.22 and 496.62 is: 680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.34 : 694.22 = 496.62 : x
  2. Step 2: Convert to fraction form
    506.34/694.22 = 496.62/x
  3. Step 3: Cross multiply
    506.34x = 694.22 × 496.62
  4. Step 4: Simplify right side
    506.34x = 344,761.05
  5. Step 5: Solve for x
    x = 344,761.05/506.34
  6. Step 6: Final answer
    x = 680.89

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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.