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Finding the Fourth Proportional to 998.63, 1,378.04 and 550.48

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Solution

The fourth proportional to 998.63, 1,378.04 and 550.48 is: 759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.63 : 1,378.04 = 550.48 : x
  2. Step 2: Convert to fraction form
    998.63/1,378.04 = 550.48/x
  3. Step 3: Cross multiply
    998.63x = 1,378.04 × 550.48
  4. Step 4: Simplify right side
    998.63x = 758,583.46
  5. Step 5: Solve for x
    x = 758,583.46/998.63
  6. Step 6: Final answer
    x = 759.62

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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.