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Finding the Fourth Proportional to 994.24, 1,369.20 and 901.36

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Solution

The fourth proportional to 994.24, 1,369.20 and 901.36 is: 1,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.24 : 1,369.20 = 901.36 : x
  2. Step 2: Convert to fraction form
    994.24/1,369.20 = 901.36/x
  3. Step 3: Cross multiply
    994.24x = 1,369.20 × 901.36
  4. Step 4: Simplify right side
    994.24x = 1,234,142.11
  5. Step 5: Solve for x
    x = 1,234,142.11/994.24
  6. Step 6: Final answer
    x = 1,241.29

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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.