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Finding the Fourth Proportional to 522.12, 782.12 and 247.38

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Solution

The fourth proportional to 522.12, 782.12 and 247.38 is: 370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 782.12 = 247.38 : x
  2. Step 2: Convert to fraction form
    522.12/782.12 = 247.38/x
  3. Step 3: Cross multiply
    522.12x = 782.12 × 247.38
  4. Step 4: Simplify right side
    522.12x = 193,480.23
  5. Step 5: Solve for x
    x = 193,480.23/522.12
  6. Step 6: Final answer
    x = 370.56

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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.