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Finding the Fourth Proportional to 1,198.31, 1,797.46 and 712.31

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Solution

The fourth proportional to 1,198.31, 1,797.46 and 712.31 is: 1,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.31 : 1,797.46 = 712.31 : x
  2. Step 2: Convert to fraction form
    1,198.31/1,797.46 = 712.31/x
  3. Step 3: Cross multiply
    1,198.31x = 1,797.46 × 712.31
  4. Step 4: Simplify right side
    1,198.31x = 1,280,337.96
  5. Step 5: Solve for x
    x = 1,280,337.96/1,198.31
  6. Step 6: Final answer
    x = 1,068.46

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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.