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Finding the Fourth Proportional to 1,369.28, 1,890.46 and 949.48

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Solution

The fourth proportional to 1,369.28, 1,890.46 and 949.48 is: 1,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.28 : 1,890.46 = 949.48 : x
  2. Step 2: Convert to fraction form
    1,369.28/1,890.46 = 949.48/x
  3. Step 3: Cross multiply
    1,369.28x = 1,890.46 × 949.48
  4. Step 4: Simplify right side
    1,369.28x = 1,794,953.96
  5. Step 5: Solve for x
    x = 1,794,953.96/1,369.28
  6. Step 6: Final answer
    x = 1,310.87

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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.