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Finding the Fourth Proportional to 741.33, 1,112.10 and 254.25

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Solution

The fourth proportional to 741.33, 1,112.10 and 254.25 is: 381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.33 : 1,112.10 = 254.25 : x
  2. Step 2: Convert to fraction form
    741.33/1,112.10 = 254.25/x
  3. Step 3: Cross multiply
    741.33x = 1,112.10 × 254.25
  4. Step 4: Simplify right side
    741.33x = 282,750.47
  5. Step 5: Solve for x
    x = 282,750.47/741.33
  6. Step 6: Final answer
    x = 381.41

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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.