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Finding the Fourth Proportional to 998.44, 1,376.74 and 765.16

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Solution

The fourth proportional to 998.44, 1,376.74 and 765.16 is: 1,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.44 : 1,376.74 = 765.16 : x
  2. Step 2: Convert to fraction form
    998.44/1,376.74 = 765.16/x
  3. Step 3: Cross multiply
    998.44x = 1,376.74 × 765.16
  4. Step 4: Simplify right side
    998.44x = 1,053,426.38
  5. Step 5: Solve for x
    x = 1,053,426.38/998.44
  6. Step 6: Final answer
    x = 1,055.07

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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.