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Finding the Fourth Proportional to 712.16, 1,067.86 and 321.71

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Solution

The fourth proportional to 712.16, 1,067.86 and 321.71 is: 482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.16 : 1,067.86 = 321.71 : x
  2. Step 2: Convert to fraction form
    712.16/1,067.86 = 321.71/x
  3. Step 3: Cross multiply
    712.16x = 1,067.86 × 321.71
  4. Step 4: Simplify right side
    712.16x = 343,541.24
  5. Step 5: Solve for x
    x = 343,541.24/712.16
  6. Step 6: Final answer
    x = 482.39

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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.