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Finding the Fourth Proportional to 522.05, 782.56 and 229.71

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Solution

The fourth proportional to 522.05, 782.56 and 229.71 is: 344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 782.56 = 229.71 : x
  2. Step 2: Convert to fraction form
    522.05/782.56 = 229.71/x
  3. Step 3: Cross multiply
    522.05x = 782.56 × 229.71
  4. Step 4: Simplify right side
    522.05x = 179,759.90
  5. Step 5: Solve for x
    x = 179,759.90/522.05
  6. Step 6: Final answer
    x = 344.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.