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Finding the Fourth Proportional to 939.26, 1,408.49 and 470.42

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Solution

The fourth proportional to 939.26, 1,408.49 and 470.42 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.26 : 1,408.49 = 470.42 : x
  2. Step 2: Convert to fraction form
    939.26/1,408.49 = 470.42/x
  3. Step 3: Cross multiply
    939.26x = 1,408.49 × 470.42
  4. Step 4: Simplify right side
    939.26x = 662,590.09
  5. Step 5: Solve for x
    x = 662,590.09/939.26
  6. Step 6: Final answer
    x = 705.44

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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.