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Finding the Fourth Proportional to 998.93, 1,491.21 and 862.04

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Solution

The fourth proportional to 998.93, 1,491.21 and 862.04 is: 1,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.93 : 1,491.21 = 862.04 : x
  2. Step 2: Convert to fraction form
    998.93/1,491.21 = 862.04/x
  3. Step 3: Cross multiply
    998.93x = 1,491.21 × 862.04
  4. Step 4: Simplify right side
    998.93x = 1,285,486.40
  5. Step 5: Solve for x
    x = 1,285,486.40/998.93
  6. Step 6: Final answer
    x = 1,286.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.