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Finding the Fourth Proportional to 717.11, 1,067.07 and 714.68

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Solution

The fourth proportional to 717.11, 1,067.07 and 714.68 is: 1,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.11 : 1,067.07 = 714.68 : x
  2. Step 2: Convert to fraction form
    717.11/1,067.07 = 714.68/x
  3. Step 3: Cross multiply
    717.11x = 1,067.07 × 714.68
  4. Step 4: Simplify right side
    717.11x = 762,613.59
  5. Step 5: Solve for x
    x = 762,613.59/717.11
  6. Step 6: Final answer
    x = 1,063.45

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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.