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Finding the Fourth Proportional to 729.58, 1,091.94 and 713.38

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Solution

The fourth proportional to 729.58, 1,091.94 and 713.38 is: 1,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.58 : 1,091.94 = 713.38 : x
  2. Step 2: Convert to fraction form
    729.58/1,091.94 = 713.38/x
  3. Step 3: Cross multiply
    729.58x = 1,091.94 × 713.38
  4. Step 4: Simplify right side
    729.58x = 778,968.16
  5. Step 5: Solve for x
    x = 778,968.16/729.58
  6. Step 6: Final answer
    x = 1,067.69

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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.