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Finding the Fourth Proportional to 994.28, 1,370.22 and 969.98

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Solution

The fourth proportional to 994.28, 1,370.22 and 969.98 is: 1,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.28 : 1,370.22 = 969.98 : x
  2. Step 2: Convert to fraction form
    994.28/1,370.22 = 969.98/x
  3. Step 3: Cross multiply
    994.28x = 1,370.22 × 969.98
  4. Step 4: Simplify right side
    994.28x = 1,329,086.00
  5. Step 5: Solve for x
    x = 1,329,086.00/994.28
  6. Step 6: Final answer
    x = 1,336.73

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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.