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Finding the Fourth Proportional to 798.70, 1,198.56 and 738.58

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Solution

The fourth proportional to 798.70, 1,198.56 and 738.58 is: 1,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.70 : 1,198.56 = 738.58 : x
  2. Step 2: Convert to fraction form
    798.70/1,198.56 = 738.58/x
  3. Step 3: Cross multiply
    798.70x = 1,198.56 × 738.58
  4. Step 4: Simplify right side
    798.70x = 885,232.44
  5. Step 5: Solve for x
    x = 885,232.44/798.70
  6. Step 6: Final answer
    x = 1,108.34

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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.