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Finding the Fourth Proportional to 994.60, 1,481.38 and 942.55

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Solution

The fourth proportional to 994.60, 1,481.38 and 942.55 is: 1,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.60 : 1,481.38 = 942.55 : x
  2. Step 2: Convert to fraction form
    994.60/1,481.38 = 942.55/x
  3. Step 3: Cross multiply
    994.60x = 1,481.38 × 942.55
  4. Step 4: Simplify right side
    994.60x = 1,396,274.72
  5. Step 5: Solve for x
    x = 1,396,274.72/994.60
  6. Step 6: Final answer
    x = 1,403.86

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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.