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Finding the Fourth Proportional to 462.50, 693.74 and 115.82

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Solution

The fourth proportional to 462.50, 693.74 and 115.82 is: 173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.50 : 693.74 = 115.82 : x
  2. Step 2: Convert to fraction form
    462.50/693.74 = 115.82/x
  3. Step 3: Cross multiply
    462.50x = 693.74 × 115.82
  4. Step 4: Simplify right side
    462.50x = 80,348.97
  5. Step 5: Solve for x
    x = 80,348.97/462.50
  6. Step 6: Final answer
    x = 173.73

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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.