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Finding the Fourth Proportional to 746.58, 1,119.79 and 198.75

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Solution

The fourth proportional to 746.58, 1,119.79 and 198.75 is: 298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.58 : 1,119.79 = 198.75 : x
  2. Step 2: Convert to fraction form
    746.58/1,119.79 = 198.75/x
  3. Step 3: Cross multiply
    746.58x = 1,119.79 × 198.75
  4. Step 4: Simplify right side
    746.58x = 222,562.71
  5. Step 5: Solve for x
    x = 222,562.71/746.58
  6. Step 6: Final answer
    x = 298.11

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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.