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Finding the Fourth Proportional to 1,188.05, 1,781.51 and 660.90

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Solution

The fourth proportional to 1,188.05, 1,781.51 and 660.90 is: 991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.05 : 1,781.51 = 660.90 : x
  2. Step 2: Convert to fraction form
    1,188.05/1,781.51 = 660.90/x
  3. Step 3: Cross multiply
    1,188.05x = 1,781.51 × 660.90
  4. Step 4: Simplify right side
    1,188.05x = 1,177,399.96
  5. Step 5: Solve for x
    x = 1,177,399.96/1,188.05
  6. Step 6: Final answer
    x = 991.04

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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.