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Finding the Fourth Proportional to 1,198.60, 1,798.09 and 613.94

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Solution

The fourth proportional to 1,198.60, 1,798.09 and 613.94 is: 921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.60 : 1,798.09 = 613.94 : x
  2. Step 2: Convert to fraction form
    1,198.60/1,798.09 = 613.94/x
  3. Step 3: Cross multiply
    1,198.60x = 1,798.09 × 613.94
  4. Step 4: Simplify right side
    1,198.60x = 1,103,908.85
  5. Step 5: Solve for x
    x = 1,103,908.85/1,198.60
  6. Step 6: Final answer
    x = 921.00

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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.