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Finding the Fourth Proportional to 798.64, 1,189.20 and 789.94

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Solution

The fourth proportional to 798.64, 1,189.20 and 789.94 is: 1,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.64 : 1,189.20 = 789.94 : x
  2. Step 2: Convert to fraction form
    798.64/1,189.20 = 789.94/x
  3. Step 3: Cross multiply
    798.64x = 1,189.20 × 789.94
  4. Step 4: Simplify right side
    798.64x = 939,396.65
  5. Step 5: Solve for x
    x = 939,396.65/798.64
  6. Step 6: Final answer
    x = 1,176.25

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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.