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Finding the Fourth Proportional to 506.09, 693.86 and 496.85

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Solution

The fourth proportional to 506.09, 693.86 and 496.85 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.09 : 693.86 = 496.85 : x
  2. Step 2: Convert to fraction form
    506.09/693.86 = 496.85/x
  3. Step 3: Cross multiply
    506.09x = 693.86 × 496.85
  4. Step 4: Simplify right side
    506.09x = 344,738.39
  5. Step 5: Solve for x
    x = 344,738.39/506.09
  6. Step 6: Final answer
    x = 681.18

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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.