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Finding the Fourth Proportional to 778.76, 1,166.11 and 755.67

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Solution

The fourth proportional to 778.76, 1,166.11 and 755.67 is: 1,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.76 : 1,166.11 = 755.67 : x
  2. Step 2: Convert to fraction form
    778.76/1,166.11 = 755.67/x
  3. Step 3: Cross multiply
    778.76x = 1,166.11 × 755.67
  4. Step 4: Simplify right side
    778.76x = 881,192.45
  5. Step 5: Solve for x
    x = 881,192.45/778.76
  6. Step 6: Final answer
    x = 1,131.54

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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.