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Finding the Fourth Proportional to 1,188.93, 1,781.37 and 668.73

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Solution

The fourth proportional to 1,188.93, 1,781.37 and 668.73 is: 1,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.93 : 1,781.37 = 668.73 : x
  2. Step 2: Convert to fraction form
    1,188.93/1,781.37 = 668.73/x
  3. Step 3: Cross multiply
    1,188.93x = 1,781.37 × 668.73
  4. Step 4: Simplify right side
    1,188.93x = 1,191,255.56
  5. Step 5: Solve for x
    x = 1,191,255.56/1,188.93
  6. Step 6: Final answer
    x = 1,001.96

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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.