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Finding the Fourth Proportional to 713.12, 1,067.78 and 404.51

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Solution

The fourth proportional to 713.12, 1,067.78 and 404.51 is: 605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 1,067.78 = 404.51 : x
  2. Step 2: Convert to fraction form
    713.12/1,067.78 = 404.51/x
  3. Step 3: Cross multiply
    713.12x = 1,067.78 × 404.51
  4. Step 4: Simplify right side
    713.12x = 431,923.36
  5. Step 5: Solve for x
    x = 431,923.36/713.12
  6. Step 6: Final answer
    x = 605.69

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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.