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Finding the Fourth Proportional to 798.20, 1,197.30 and 711.80

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Solution

The fourth proportional to 798.20, 1,197.30 and 711.80 is: 1,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.20 : 1,197.30 = 711.80 : x
  2. Step 2: Convert to fraction form
    798.20/1,197.30 = 711.80/x
  3. Step 3: Cross multiply
    798.20x = 1,197.30 × 711.80
  4. Step 4: Simplify right side
    798.20x = 852,238.14
  5. Step 5: Solve for x
    x = 852,238.14/798.20
  6. Step 6: Final answer
    x = 1,067.70

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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.