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Finding the Fourth Proportional to 938.59, 1,408.08 and 609.42

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Solution

The fourth proportional to 938.59, 1,408.08 and 609.42 is: 914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.59 : 1,408.08 = 609.42 : x
  2. Step 2: Convert to fraction form
    938.59/1,408.08 = 609.42/x
  3. Step 3: Cross multiply
    938.59x = 1,408.08 × 609.42
  4. Step 4: Simplify right side
    938.59x = 858,119.68
  5. Step 5: Solve for x
    x = 858,119.68/938.59
  6. Step 6: Final answer
    x = 914.27

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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.