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Finding the Fourth Proportional to 746.76, 1,119.78 and 226.71

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Solution

The fourth proportional to 746.76, 1,119.78 and 226.71 is: 339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.76 : 1,119.78 = 226.71 : x
  2. Step 2: Convert to fraction form
    746.76/1,119.78 = 226.71/x
  3. Step 3: Cross multiply
    746.76x = 1,119.78 × 226.71
  4. Step 4: Simplify right side
    746.76x = 253,865.32
  5. Step 5: Solve for x
    x = 253,865.32/746.76
  6. Step 6: Final answer
    x = 339.96

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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.