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Finding the Fourth Proportional to 998.11, 1,375.14 and 735.67

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Solution

The fourth proportional to 998.11, 1,375.14 and 735.67 is: 1,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.11 : 1,375.14 = 735.67 : x
  2. Step 2: Convert to fraction form
    998.11/1,375.14 = 735.67/x
  3. Step 3: Cross multiply
    998.11x = 1,375.14 × 735.67
  4. Step 4: Simplify right side
    998.11x = 1,011,649.24
  5. Step 5: Solve for x
    x = 1,011,649.24/998.11
  6. Step 6: Final answer
    x = 1,013.56

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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.