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Finding the Fourth Proportional to 711.91, 1,067.14 and 321.63

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Solution

The fourth proportional to 711.91, 1,067.14 and 321.63 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.91 : 1,067.14 = 321.63 : x
  2. Step 2: Convert to fraction form
    711.91/1,067.14 = 321.63/x
  3. Step 3: Cross multiply
    711.91x = 1,067.14 × 321.63
  4. Step 4: Simplify right side
    711.91x = 343,224.24
  5. Step 5: Solve for x
    x = 343,224.24/711.91
  6. Step 6: Final answer
    x = 482.12

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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.