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Finding the Fourth Proportional to 998.14, 1,378.02 and 667.66

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Solution

The fourth proportional to 998.14, 1,378.02 and 667.66 is: 921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.14 : 1,378.02 = 667.66 : x
  2. Step 2: Convert to fraction form
    998.14/1,378.02 = 667.66/x
  3. Step 3: Cross multiply
    998.14x = 1,378.02 × 667.66
  4. Step 4: Simplify right side
    998.14x = 920,048.83
  5. Step 5: Solve for x
    x = 920,048.83/998.14
  6. Step 6: Final answer
    x = 921.76

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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.