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Finding the Fourth Proportional to 998.61, 1,378 and 573.25

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Solution

The fourth proportional to 998.61, 1,378 and 573.25 is: 791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.61 : 1,378 = 573.25 : x
  2. Step 2: Convert to fraction form
    998.61/1,378 = 573.25/x
  3. Step 3: Cross multiply
    998.61x = 1,378 × 573.25
  4. Step 4: Simplify right side
    998.61x = 789,938.50
  5. Step 5: Solve for x
    x = 789,938.50/998.61
  6. Step 6: Final answer
    x = 791.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.