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Finding the Fourth Proportional to 796.33, 1,193.18 and 765.95

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Solution

The fourth proportional to 796.33, 1,193.18 and 765.95 is: 1,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.33 : 1,193.18 = 765.95 : x
  2. Step 2: Convert to fraction form
    796.33/1,193.18 = 765.95/x
  3. Step 3: Cross multiply
    796.33x = 1,193.18 × 765.95
  4. Step 4: Simplify right side
    796.33x = 913,916.22
  5. Step 5: Solve for x
    x = 913,916.22/796.33
  6. Step 6: Final answer
    x = 1,147.67

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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.