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Finding the Fourth Proportional to 1,189, 1,785.48 and 1,099.18

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Solution

The fourth proportional to 1,189, 1,785.48 and 1,099.18 is: 1,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189 : 1,785.48 = 1,099.18 : x
  2. Step 2: Convert to fraction form
    1,189/1,785.48 = 1,099.18/x
  3. Step 3: Cross multiply
    1,189x = 1,785.48 × 1,099.18
  4. Step 4: Simplify right side
    1,189x = 1,962,563.91
  5. Step 5: Solve for x
    x = 1,962,563.91/1,189
  6. Step 6: Final answer
    x = 1,650.60

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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.