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Finding the Fourth Proportional to 996.98, 1,375.90 and 554.89

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Solution

The fourth proportional to 996.98, 1,375.90 and 554.89 is: 765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.98 : 1,375.90 = 554.89 : x
  2. Step 2: Convert to fraction form
    996.98/1,375.90 = 554.89/x
  3. Step 3: Cross multiply
    996.98x = 1,375.90 × 554.89
  4. Step 4: Simplify right side
    996.98x = 763,466.27
  5. Step 5: Solve for x
    x = 763,466.27/996.98
  6. Step 6: Final answer
    x = 765.78

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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.