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Finding the Fourth Proportional to 798.75, 1,198.35 and 311.85

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Solution

The fourth proportional to 798.75, 1,198.35 and 311.85 is: 467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.75 : 1,198.35 = 311.85 : x
  2. Step 2: Convert to fraction form
    798.75/1,198.35 = 311.85/x
  3. Step 3: Cross multiply
    798.75x = 1,198.35 × 311.85
  4. Step 4: Simplify right side
    798.75x = 373,705.45
  5. Step 5: Solve for x
    x = 373,705.45/798.75
  6. Step 6: Final answer
    x = 467.86

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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.