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Finding the Fourth Proportional to 1,213.28, 1,807 and 1,198.24

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Solution

The fourth proportional to 1,213.28, 1,807 and 1,198.24 is: 1,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.28 : 1,807 = 1,198.24 : x
  2. Step 2: Convert to fraction form
    1,213.28/1,807 = 1,198.24/x
  3. Step 3: Cross multiply
    1,213.28x = 1,807 × 1,198.24
  4. Step 4: Simplify right side
    1,213.28x = 2,165,219.68
  5. Step 5: Solve for x
    x = 2,165,219.68/1,213.28
  6. Step 6: Final answer
    x = 1,784.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.