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Finding the Fourth Proportional to 836.91, 1,255.38 and 259.78

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Solution

The fourth proportional to 836.91, 1,255.38 and 259.78 is: 389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,255.38 = 259.78 : x
  2. Step 2: Convert to fraction form
    836.91/1,255.38 = 259.78/x
  3. Step 3: Cross multiply
    836.91x = 1,255.38 × 259.78
  4. Step 4: Simplify right side
    836.91x = 326,122.62
  5. Step 5: Solve for x
    x = 326,122.62/836.91
  6. Step 6: Final answer
    x = 389.67

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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.