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Finding the Fourth Proportional to 798.86, 1,198.72 and 311.92

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Solution

The fourth proportional to 798.86, 1,198.72 and 311.92 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.86 : 1,198.72 = 311.92 : x
  2. Step 2: Convert to fraction form
    798.86/1,198.72 = 311.92/x
  3. Step 3: Cross multiply
    798.86x = 1,198.72 × 311.92
  4. Step 4: Simplify right side
    798.86x = 373,904.74
  5. Step 5: Solve for x
    x = 373,904.74/798.86
  6. Step 6: Final answer
    x = 468.05

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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.