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Finding the Fourth Proportional to 998.80, 1,378.80 and 600.64

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Solution

The fourth proportional to 998.80, 1,378.80 and 600.64 is: 829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.80 : 1,378.80 = 600.64 : x
  2. Step 2: Convert to fraction form
    998.80/1,378.80 = 600.64/x
  3. Step 3: Cross multiply
    998.80x = 1,378.80 × 600.64
  4. Step 4: Simplify right side
    998.80x = 828,162.43
  5. Step 5: Solve for x
    x = 828,162.43/998.80
  6. Step 6: Final answer
    x = 829.16

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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.