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Finding the Fourth Proportional to 939.97, 1,408.60 and 691.23

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Solution

The fourth proportional to 939.97, 1,408.60 and 691.23 is: 1,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.97 : 1,408.60 = 691.23 : x
  2. Step 2: Convert to fraction form
    939.97/1,408.60 = 691.23/x
  3. Step 3: Cross multiply
    939.97x = 1,408.60 × 691.23
  4. Step 4: Simplify right side
    939.97x = 973,666.58
  5. Step 5: Solve for x
    x = 973,666.58/939.97
  6. Step 6: Final answer
    x = 1,035.85

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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.