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Finding the Fourth Proportional to 798.59, 1,198.33 and 311.57

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Solution

The fourth proportional to 798.59, 1,198.33 and 311.57 is: 467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.59 : 1,198.33 = 311.57 : x
  2. Step 2: Convert to fraction form
    798.59/1,198.33 = 311.57/x
  3. Step 3: Cross multiply
    798.59x = 1,198.33 × 311.57
  4. Step 4: Simplify right side
    798.59x = 373,363.68
  5. Step 5: Solve for x
    x = 373,363.68/798.59
  6. Step 6: Final answer
    x = 467.53

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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.