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Finding the Fourth Proportional to 994.66, 1,488.94 and 798.77

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Solution

The fourth proportional to 994.66, 1,488.94 and 798.77 is: 1,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.66 : 1,488.94 = 798.77 : x
  2. Step 2: Convert to fraction form
    994.66/1,488.94 = 798.77/x
  3. Step 3: Cross multiply
    994.66x = 1,488.94 × 798.77
  4. Step 4: Simplify right side
    994.66x = 1,189,320.60
  5. Step 5: Solve for x
    x = 1,189,320.60/994.66
  6. Step 6: Final answer
    x = 1,195.71

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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.