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Finding the Fourth Proportional to 796.13, 1,193.12 and 411.65

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Solution

The fourth proportional to 796.13, 1,193.12 and 411.65 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.13 : 1,193.12 = 411.65 : x
  2. Step 2: Convert to fraction form
    796.13/1,193.12 = 411.65/x
  3. Step 3: Cross multiply
    796.13x = 1,193.12 × 411.65
  4. Step 4: Simplify right side
    796.13x = 491,145.79
  5. Step 5: Solve for x
    x = 491,145.79/796.13
  6. Step 6: Final answer
    x = 616.92

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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.