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Finding the Fourth Proportional to 522.62, 779.33 and 517.94

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Solution

The fourth proportional to 522.62, 779.33 and 517.94 is: 772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.62 : 779.33 = 517.94 : x
  2. Step 2: Convert to fraction form
    522.62/779.33 = 517.94/x
  3. Step 3: Cross multiply
    522.62x = 779.33 × 517.94
  4. Step 4: Simplify right side
    522.62x = 403,644.56
  5. Step 5: Solve for x
    x = 403,644.56/522.62
  6. Step 6: Final answer
    x = 772.34

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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.