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Finding the Fourth Proportional to 938.05, 1,404.34 and 659.44

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Solution

The fourth proportional to 938.05, 1,404.34 and 659.44 is: 987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.05 : 1,404.34 = 659.44 : x
  2. Step 2: Convert to fraction form
    938.05/1,404.34 = 659.44/x
  3. Step 3: Cross multiply
    938.05x = 1,404.34 × 659.44
  4. Step 4: Simplify right side
    938.05x = 926,078.08
  5. Step 5: Solve for x
    x = 926,078.08/938.05
  6. Step 6: Final answer
    x = 987.24

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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.