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Finding the Fourth Proportional to 712.26, 1,067.90 and 347.27

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Solution

The fourth proportional to 712.26, 1,067.90 and 347.27 is: 520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.26 : 1,067.90 = 347.27 : x
  2. Step 2: Convert to fraction form
    712.26/1,067.90 = 347.27/x
  3. Step 3: Cross multiply
    712.26x = 1,067.90 × 347.27
  4. Step 4: Simplify right side
    712.26x = 370,842.56
  5. Step 5: Solve for x
    x = 370,842.56/712.26
  6. Step 6: Final answer
    x = 520.66

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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.