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Finding the Fourth Proportional to 934.97, 1,396.62 and 691.97

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Solution

The fourth proportional to 934.97, 1,396.62 and 691.97 is: 1,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.97 : 1,396.62 = 691.97 : x
  2. Step 2: Convert to fraction form
    934.97/1,396.62 = 691.97/x
  3. Step 3: Cross multiply
    934.97x = 1,396.62 × 691.97
  4. Step 4: Simplify right side
    934.97x = 966,412.16
  5. Step 5: Solve for x
    x = 966,412.16/934.97
  6. Step 6: Final answer
    x = 1,033.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.