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Finding the Fourth Proportional to 998.88, 1,489.68 and 914.88

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Solution

The fourth proportional to 998.88, 1,489.68 and 914.88 is: 1,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.88 : 1,489.68 = 914.88 : x
  2. Step 2: Convert to fraction form
    998.88/1,489.68 = 914.88/x
  3. Step 3: Cross multiply
    998.88x = 1,489.68 × 914.88
  4. Step 4: Simplify right side
    998.88x = 1,362,878.44
  5. Step 5: Solve for x
    x = 1,362,878.44/998.88
  6. Step 6: Final answer
    x = 1,364.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.