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Finding the Fourth Proportional to 796.43, 1,195.97 and 538.10

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Solution

The fourth proportional to 796.43, 1,195.97 and 538.10 is: 808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.43 : 1,195.97 = 538.10 : x
  2. Step 2: Convert to fraction form
    796.43/1,195.97 = 538.10/x
  3. Step 3: Cross multiply
    796.43x = 1,195.97 × 538.10
  4. Step 4: Simplify right side
    796.43x = 643,542.79
  5. Step 5: Solve for x
    x = 643,542.79/796.43
  6. Step 6: Final answer
    x = 808.04

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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.