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Finding the Fourth Proportional to 938.36, 1,399.29 and 871.48

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Solution

The fourth proportional to 938.36, 1,399.29 and 871.48 is: 1,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.36 : 1,399.29 = 871.48 : x
  2. Step 2: Convert to fraction form
    938.36/1,399.29 = 871.48/x
  3. Step 3: Cross multiply
    938.36x = 1,399.29 × 871.48
  4. Step 4: Simplify right side
    938.36x = 1,219,453.25
  5. Step 5: Solve for x
    x = 1,219,453.25/938.36
  6. Step 6: Final answer
    x = 1,299.56

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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.