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Finding the Fourth Proportional to 522.17, 778.64 and 517.54

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Solution

The fourth proportional to 522.17, 778.64 and 517.54 is: 771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.17 : 778.64 = 517.54 : x
  2. Step 2: Convert to fraction form
    522.17/778.64 = 517.54/x
  3. Step 3: Cross multiply
    522.17x = 778.64 × 517.54
  4. Step 4: Simplify right side
    522.17x = 402,975.73
  5. Step 5: Solve for x
    x = 402,975.73/522.17
  6. Step 6: Final answer
    x = 771.73

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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.