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Finding the Fourth Proportional to 798.12, 1,195.74 and 667.98

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Solution

The fourth proportional to 798.12, 1,195.74 and 667.98 is: 1,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.12 : 1,195.74 = 667.98 : x
  2. Step 2: Convert to fraction form
    798.12/1,195.74 = 667.98/x
  3. Step 3: Cross multiply
    798.12x = 1,195.74 × 667.98
  4. Step 4: Simplify right side
    798.12x = 798,730.41
  5. Step 5: Solve for x
    x = 798,730.41/798.12
  6. Step 6: Final answer
    x = 1,000.76

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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.