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Finding the Fourth Proportional to 741.88, 1,112.82 and 719.31

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Solution

The fourth proportional to 741.88, 1,112.82 and 719.31 is: 1,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.88 : 1,112.82 = 719.31 : x
  2. Step 2: Convert to fraction form
    741.88/1,112.82 = 719.31/x
  3. Step 3: Cross multiply
    741.88x = 1,112.82 × 719.31
  4. Step 4: Simplify right side
    741.88x = 800,468.08
  5. Step 5: Solve for x
    x = 800,468.08/741.88
  6. Step 6: Final answer
    x = 1,078.98

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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.