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Finding the Fourth Proportional to 905.97, 1,357.39 and 712.22

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Solution

The fourth proportional to 905.97, 1,357.39 and 712.22 is: 1,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.97 : 1,357.39 = 712.22 : x
  2. Step 2: Convert to fraction form
    905.97/1,357.39 = 712.22/x
  3. Step 3: Cross multiply
    905.97x = 1,357.39 × 712.22
  4. Step 4: Simplify right side
    905.97x = 966,756.74
  5. Step 5: Solve for x
    x = 966,756.74/905.97
  6. Step 6: Final answer
    x = 1,067.10

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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.