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Finding the Fourth Proportional to 1,198.81, 1,798.21 and 712.81

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Solution

The fourth proportional to 1,198.81, 1,798.21 and 712.81 is: 1,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.81 : 1,798.21 = 712.81 : x
  2. Step 2: Convert to fraction form
    1,198.81/1,798.21 = 712.81/x
  3. Step 3: Cross multiply
    1,198.81x = 1,798.21 × 712.81
  4. Step 4: Simplify right side
    1,198.81x = 1,281,782.07
  5. Step 5: Solve for x
    x = 1,281,782.07/1,198.81
  6. Step 6: Final answer
    x = 1,069.21

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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.