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Finding the Fourth Proportional to 1,260.66, 1,890.74 and 1,198.15

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Solution

The fourth proportional to 1,260.66, 1,890.74 and 1,198.15 is: 1,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.66 : 1,890.74 = 1,198.15 : x
  2. Step 2: Convert to fraction form
    1,260.66/1,890.74 = 1,198.15/x
  3. Step 3: Cross multiply
    1,260.66x = 1,890.74 × 1,198.15
  4. Step 4: Simplify right side
    1,260.66x = 2,265,390.13
  5. Step 5: Solve for x
    x = 2,265,390.13/1,260.66
  6. Step 6: Final answer
    x = 1,796.99

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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.