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Finding the Fourth Proportional to 939.66, 1,408.41 and 506.22

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Solution

The fourth proportional to 939.66, 1,408.41 and 506.22 is: 758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.66 : 1,408.41 = 506.22 : x
  2. Step 2: Convert to fraction form
    939.66/1,408.41 = 506.22/x
  3. Step 3: Cross multiply
    939.66x = 1,408.41 × 506.22
  4. Step 4: Simplify right side
    939.66x = 712,965.31
  5. Step 5: Solve for x
    x = 712,965.31/939.66
  6. Step 6: Final answer
    x = 758.75

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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.