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Finding the Fourth Proportional to 998.07, 1,375.91 and 702.42

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Solution

The fourth proportional to 998.07, 1,375.91 and 702.42 is: 968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.07 : 1,375.91 = 702.42 : x
  2. Step 2: Convert to fraction form
    998.07/1,375.91 = 702.42/x
  3. Step 3: Cross multiply
    998.07x = 1,375.91 × 702.42
  4. Step 4: Simplify right side
    998.07x = 966,466.70
  5. Step 5: Solve for x
    x = 966,466.70/998.07
  6. Step 6: Final answer
    x = 968.34

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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.