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Finding the Fourth Proportional to 796.63, 1,195.41 and 309.66

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Solution

The fourth proportional to 796.63, 1,195.41 and 309.66 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.63 : 1,195.41 = 309.66 : x
  2. Step 2: Convert to fraction form
    796.63/1,195.41 = 309.66/x
  3. Step 3: Cross multiply
    796.63x = 1,195.41 × 309.66
  4. Step 4: Simplify right side
    796.63x = 370,170.66
  5. Step 5: Solve for x
    x = 370,170.66/796.63
  6. Step 6: Final answer
    x = 464.67

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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.