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Finding the Fourth Proportional to 908.48, 1,359.68 and 798.73

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Solution

The fourth proportional to 908.48, 1,359.68 and 798.73 is: 1,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.48 : 1,359.68 = 798.73 : x
  2. Step 2: Convert to fraction form
    908.48/1,359.68 = 798.73/x
  3. Step 3: Cross multiply
    908.48x = 1,359.68 × 798.73
  4. Step 4: Simplify right side
    908.48x = 1,086,015.80
  5. Step 5: Solve for x
    x = 1,086,015.80/908.48
  6. Step 6: Final answer
    x = 1,195.42

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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.