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Finding the Fourth Proportional to 709.97, 1,067.39 and 656.51

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Solution

The fourth proportional to 709.97, 1,067.39 and 656.51 is: 987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.97 : 1,067.39 = 656.51 : x
  2. Step 2: Convert to fraction form
    709.97/1,067.39 = 656.51/x
  3. Step 3: Cross multiply
    709.97x = 1,067.39 × 656.51
  4. Step 4: Simplify right side
    709.97x = 700,748.93
  5. Step 5: Solve for x
    x = 700,748.93/709.97
  6. Step 6: Final answer
    x = 987.01

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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.