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Finding the Fourth Proportional to 741.88, 1,112.14 and 254.59

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Solution

The fourth proportional to 741.88, 1,112.14 and 254.59 is: 381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.88 : 1,112.14 = 254.59 : x
  2. Step 2: Convert to fraction form
    741.88/1,112.14 = 254.59/x
  3. Step 3: Cross multiply
    741.88x = 1,112.14 × 254.59
  4. Step 4: Simplify right side
    741.88x = 283,139.72
  5. Step 5: Solve for x
    x = 283,139.72/741.88
  6. Step 6: Final answer
    x = 381.65

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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.