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Finding the Fourth Proportional to 798.77, 1,198.71 and 311.83

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Solution

The fourth proportional to 798.77, 1,198.71 and 311.83 is: 467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.77 : 1,198.71 = 311.83 : x
  2. Step 2: Convert to fraction form
    798.77/1,198.71 = 311.83/x
  3. Step 3: Cross multiply
    798.77x = 1,198.71 × 311.83
  4. Step 4: Simplify right side
    798.77x = 373,790.74
  5. Step 5: Solve for x
    x = 373,790.74/798.77
  6. Step 6: Final answer
    x = 467.96

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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.