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Finding the Fourth Proportional to 1,591.93, 2,388.32 and 667

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Solution

The fourth proportional to 1,591.93, 2,388.32 and 667 is: 1,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.93 : 2,388.32 = 667 : x
  2. Step 2: Convert to fraction form
    1,591.93/2,388.32 = 667/x
  3. Step 3: Cross multiply
    1,591.93x = 2,388.32 × 667
  4. Step 4: Simplify right side
    1,591.93x = 1,593,009.44
  5. Step 5: Solve for x
    x = 1,593,009.44/1,591.93
  6. Step 6: Final answer
    x = 1,000.68

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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.