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Finding the Fourth Proportional to 506.36, 755.92 and 451.68

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Solution

The fourth proportional to 506.36, 755.92 and 451.68 is: 674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 755.92 = 451.68 : x
  2. Step 2: Convert to fraction form
    506.36/755.92 = 451.68/x
  3. Step 3: Cross multiply
    506.36x = 755.92 × 451.68
  4. Step 4: Simplify right side
    506.36x = 341,433.95
  5. Step 5: Solve for x
    x = 341,433.95/506.36
  6. Step 6: Final answer
    x = 674.29

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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.