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Finding the Fourth Proportional to 778.74, 1,168.11 and 345.78

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Solution

The fourth proportional to 778.74, 1,168.11 and 345.78 is: 518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.74 : 1,168.11 = 345.78 : x
  2. Step 2: Convert to fraction form
    778.74/1,168.11 = 345.78/x
  3. Step 3: Cross multiply
    778.74x = 1,168.11 × 345.78
  4. Step 4: Simplify right side
    778.74x = 403,909.08
  5. Step 5: Solve for x
    x = 403,909.08/778.74
  6. Step 6: Final answer
    x = 518.67

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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.