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Finding the Fourth Proportional to 798.78, 1,198.62 and 311.72

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Solution

The fourth proportional to 798.78, 1,198.62 and 311.72 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.78 : 1,198.62 = 311.72 : x
  2. Step 2: Convert to fraction form
    798.78/1,198.62 = 311.72/x
  3. Step 3: Cross multiply
    798.78x = 1,198.62 × 311.72
  4. Step 4: Simplify right side
    798.78x = 373,628.61
  5. Step 5: Solve for x
    x = 373,628.61/798.78
  6. Step 6: Final answer
    x = 467.75

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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.