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Finding the Fourth Proportional to 711.68, 1,067.47 and 321.44

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Solution

The fourth proportional to 711.68, 1,067.47 and 321.44 is: 482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.68 : 1,067.47 = 321.44 : x
  2. Step 2: Convert to fraction form
    711.68/1,067.47 = 321.44/x
  3. Step 3: Cross multiply
    711.68x = 1,067.47 × 321.44
  4. Step 4: Simplify right side
    711.68x = 343,121.42
  5. Step 5: Solve for x
    x = 343,121.42/711.68
  6. Step 6: Final answer
    x = 482.13

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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.