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Finding the Fourth Proportional to 506.06, 755.22 and 451.38

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Solution

The fourth proportional to 506.06, 755.22 and 451.38 is: 673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.06 : 755.22 = 451.38 : x
  2. Step 2: Convert to fraction form
    506.06/755.22 = 451.38/x
  3. Step 3: Cross multiply
    506.06x = 755.22 × 451.38
  4. Step 4: Simplify right side
    506.06x = 340,891.20
  5. Step 5: Solve for x
    x = 340,891.20/506.06
  6. Step 6: Final answer
    x = 673.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.