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Finding the Fourth Proportional to 1,333.80, 1,999.44 and 1,188

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Solution

The fourth proportional to 1,333.80, 1,999.44 and 1,188 is: 1,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.80 : 1,999.44 = 1,188 : x
  2. Step 2: Convert to fraction form
    1,333.80/1,999.44 = 1,188/x
  3. Step 3: Cross multiply
    1,333.80x = 1,999.44 × 1,188
  4. Step 4: Simplify right side
    1,333.80x = 2,375,334.72
  5. Step 5: Solve for x
    x = 2,375,334.72/1,333.80
  6. Step 6: Final answer
    x = 1,780.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.