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Finding the Fourth Proportional to 998.88, 1,378.22 and 605.22

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Solution

The fourth proportional to 998.88, 1,378.22 and 605.22 is: 835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.88 : 1,378.22 = 605.22 : x
  2. Step 2: Convert to fraction form
    998.88/1,378.22 = 605.22/x
  3. Step 3: Cross multiply
    998.88x = 1,378.22 × 605.22
  4. Step 4: Simplify right side
    998.88x = 834,126.31
  5. Step 5: Solve for x
    x = 834,126.31/998.88
  6. Step 6: Final answer
    x = 835.06

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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.