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Finding the Fourth Proportional to 939.24, 1,408.89 and 354.19

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Solution

The fourth proportional to 939.24, 1,408.89 and 354.19 is: 531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.24 : 1,408.89 = 354.19 : x
  2. Step 2: Convert to fraction form
    939.24/1,408.89 = 354.19/x
  3. Step 3: Cross multiply
    939.24x = 1,408.89 × 354.19
  4. Step 4: Simplify right side
    939.24x = 499,014.75
  5. Step 5: Solve for x
    x = 499,014.75/939.24
  6. Step 6: Final answer
    x = 531.30

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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.