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Finding the Fourth Proportional to 998.82, 1,503.54 and 768.96

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Solution

The fourth proportional to 998.82, 1,503.54 and 768.96 is: 1,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.82 : 1,503.54 = 768.96 : x
  2. Step 2: Convert to fraction form
    998.82/1,503.54 = 768.96/x
  3. Step 3: Cross multiply
    998.82x = 1,503.54 × 768.96
  4. Step 4: Simplify right side
    998.82x = 1,156,162.12
  5. Step 5: Solve for x
    x = 1,156,162.12/998.82
  6. Step 6: Final answer
    x = 1,157.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.