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Finding the Fourth Proportional to 511.26, 766.38 and 408.72

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Solution

The fourth proportional to 511.26, 766.38 and 408.72 is: 612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 766.38 = 408.72 : x
  2. Step 2: Convert to fraction form
    511.26/766.38 = 408.72/x
  3. Step 3: Cross multiply
    511.26x = 766.38 × 408.72
  4. Step 4: Simplify right side
    511.26x = 313,234.83
  5. Step 5: Solve for x
    x = 313,234.83/511.26
  6. Step 6: Final answer
    x = 612.67

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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.