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Finding the Fourth Proportional to 555.26, 827.97 and 517.56

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Solution

The fourth proportional to 555.26, 827.97 and 517.56 is: 771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 827.97 = 517.56 : x
  2. Step 2: Convert to fraction form
    555.26/827.97 = 517.56/x
  3. Step 3: Cross multiply
    555.26x = 827.97 × 517.56
  4. Step 4: Simplify right side
    555.26x = 428,519.11
  5. Step 5: Solve for x
    x = 428,519.11/555.26
  6. Step 6: Final answer
    x = 771.75

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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.