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Finding the Fourth Proportional to 506.22, 755.94 and 396.78

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Solution

The fourth proportional to 506.22, 755.94 and 396.78 is: 592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.22 : 755.94 = 396.78 : x
  2. Step 2: Convert to fraction form
    506.22/755.94 = 396.78/x
  3. Step 3: Cross multiply
    506.22x = 755.94 × 396.78
  4. Step 4: Simplify right side
    506.22x = 299,941.87
  5. Step 5: Solve for x
    x = 299,941.87/506.22
  6. Step 6: Final answer
    x = 592.51

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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.