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Finding the Fourth Proportional to 506.57, 755.97 and 451.89

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Solution

The fourth proportional to 506.57, 755.97 and 451.89 is: 674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 755.97 = 451.89 : x
  2. Step 2: Convert to fraction form
    506.57/755.97 = 451.89/x
  3. Step 3: Cross multiply
    506.57x = 755.97 × 451.89
  4. Step 4: Simplify right side
    506.57x = 341,615.28
  5. Step 5: Solve for x
    x = 341,615.28/506.57
  6. Step 6: Final answer
    x = 674.38

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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.