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Finding the Fourth Proportional to 741.92, 1,113.03 and 254.97

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Solution

The fourth proportional to 741.92, 1,113.03 and 254.97 is: 382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.92 : 1,113.03 = 254.97 : x
  2. Step 2: Convert to fraction form
    741.92/1,113.03 = 254.97/x
  3. Step 3: Cross multiply
    741.92x = 1,113.03 × 254.97
  4. Step 4: Simplify right side
    741.92x = 283,789.26
  5. Step 5: Solve for x
    x = 283,789.26/741.92
  6. Step 6: Final answer
    x = 382.51

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Double scale
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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.