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Finding the Fourth Proportional to 522.11, 782.12 and 247.39

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Solution

The fourth proportional to 522.11, 782.12 and 247.39 is: 370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.11 : 782.12 = 247.39 : x
  2. Step 2: Convert to fraction form
    522.11/782.12 = 247.39/x
  3. Step 3: Cross multiply
    522.11x = 782.12 × 247.39
  4. Step 4: Simplify right side
    522.11x = 193,487.33
  5. Step 5: Solve for x
    x = 193,487.33/522.11
  6. Step 6: Final answer
    x = 370.59

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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.