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Finding the Fourth Proportional to 998.06, 1,377.14 and 758.30

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Solution

The fourth proportional to 998.06, 1,377.14 and 758.30 is: 1,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.06 : 1,377.14 = 758.30 : x
  2. Step 2: Convert to fraction form
    998.06/1,377.14 = 758.30/x
  3. Step 3: Cross multiply
    998.06x = 1,377.14 × 758.30
  4. Step 4: Simplify right side
    998.06x = 1,044,285.26
  5. Step 5: Solve for x
    x = 1,044,285.26/998.06
  6. Step 6: Final answer
    x = 1,046.32

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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.