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Finding the Fourth Proportional to 746.17, 1,119.31 and 198.34

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Solution

The fourth proportional to 746.17, 1,119.31 and 198.34 is: 297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.17 : 1,119.31 = 198.34 : x
  2. Step 2: Convert to fraction form
    746.17/1,119.31 = 198.34/x
  3. Step 3: Cross multiply
    746.17x = 1,119.31 × 198.34
  4. Step 4: Simplify right side
    746.17x = 222,003.95
  5. Step 5: Solve for x
    x = 222,003.95/746.17
  6. Step 6: Final answer
    x = 297.52

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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.