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Finding the Fourth Proportional to 712.25, 1,067.64 and 301.64

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Solution

The fourth proportional to 712.25, 1,067.64 and 301.64 is: 452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.25 : 1,067.64 = 301.64 : x
  2. Step 2: Convert to fraction form
    712.25/1,067.64 = 301.64/x
  3. Step 3: Cross multiply
    712.25x = 1,067.64 × 301.64
  4. Step 4: Simplify right side
    712.25x = 322,042.93
  5. Step 5: Solve for x
    x = 322,042.93/712.25
  6. Step 6: Final answer
    x = 452.15

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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.