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Finding the Fourth Proportional to 998.03, 1,376.53 and 886.12

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Solution

The fourth proportional to 998.03, 1,376.53 and 886.12 is: 1,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.03 : 1,376.53 = 886.12 : x
  2. Step 2: Convert to fraction form
    998.03/1,376.53 = 886.12/x
  3. Step 3: Cross multiply
    998.03x = 1,376.53 × 886.12
  4. Step 4: Simplify right side
    998.03x = 1,219,765.11
  5. Step 5: Solve for x
    x = 1,219,765.11/998.03
  6. Step 6: Final answer
    x = 1,222.17

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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.