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Finding the Fourth Proportional to 712.06, 1,067.10 and 386.80

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Solution

The fourth proportional to 712.06, 1,067.10 and 386.80 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.06 : 1,067.10 = 386.80 : x
  2. Step 2: Convert to fraction form
    712.06/1,067.10 = 386.80/x
  3. Step 3: Cross multiply
    712.06x = 1,067.10 × 386.80
  4. Step 4: Simplify right side
    712.06x = 412,754.28
  5. Step 5: Solve for x
    x = 412,754.28/712.06
  6. Step 6: Final answer
    x = 579.66

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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.