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Finding the Fourth Proportional to 966.13, 1,438.09 and 921.31

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Solution

The fourth proportional to 966.13, 1,438.09 and 921.31 is: 1,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.13 : 1,438.09 = 921.31 : x
  2. Step 2: Convert to fraction form
    966.13/1,438.09 = 921.31/x
  3. Step 3: Cross multiply
    966.13x = 1,438.09 × 921.31
  4. Step 4: Simplify right side
    966.13x = 1,324,920.80
  5. Step 5: Solve for x
    x = 1,324,920.80/966.13
  6. Step 6: Final answer
    x = 1,371.37

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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.