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Finding the Fourth Proportional to 741.87, 1,112.09 and 254.79

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Solution

The fourth proportional to 741.87, 1,112.09 and 254.79 is: 381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.87 : 1,112.09 = 254.79 : x
  2. Step 2: Convert to fraction form
    741.87/1,112.09 = 254.79/x
  3. Step 3: Cross multiply
    741.87x = 1,112.09 × 254.79
  4. Step 4: Simplify right side
    741.87x = 283,348.14
  5. Step 5: Solve for x
    x = 283,348.14/741.87
  6. Step 6: Final answer
    x = 381.94

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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.