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Finding the Fourth Proportional to 938.34, 1,405.26 and 872.64

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Solution

The fourth proportional to 938.34, 1,405.26 and 872.64 is: 1,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.34 : 1,405.26 = 872.64 : x
  2. Step 2: Convert to fraction form
    938.34/1,405.26 = 872.64/x
  3. Step 3: Cross multiply
    938.34x = 1,405.26 × 872.64
  4. Step 4: Simplify right side
    938.34x = 1,226,286.09
  5. Step 5: Solve for x
    x = 1,226,286.09/938.34
  6. Step 6: Final answer
    x = 1,306.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.