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Finding the Fourth Proportional to 522.57, 783.78 and 137.82

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Solution

The fourth proportional to 522.57, 783.78 and 137.82 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 783.78 = 137.82 : x
  2. Step 2: Convert to fraction form
    522.57/783.78 = 137.82/x
  3. Step 3: Cross multiply
    522.57x = 783.78 × 137.82
  4. Step 4: Simplify right side
    522.57x = 108,020.56
  5. Step 5: Solve for x
    x = 108,020.56/522.57
  6. Step 6: Final answer
    x = 206.71

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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.