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Finding the Fourth Proportional to 746.44, 1,119.80 and 252.78

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Solution

The fourth proportional to 746.44, 1,119.80 and 252.78 is: 379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.44 : 1,119.80 = 252.78 : x
  2. Step 2: Convert to fraction form
    746.44/1,119.80 = 252.78/x
  3. Step 3: Cross multiply
    746.44x = 1,119.80 × 252.78
  4. Step 4: Simplify right side
    746.44x = 283,063.04
  5. Step 5: Solve for x
    x = 283,063.04/746.44
  6. Step 6: Final answer
    x = 379.22

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1.5x scale

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.