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Finding the Fourth Proportional to 711.78, 1,067.05 and 301.21

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Solution

The fourth proportional to 711.78, 1,067.05 and 301.21 is: 451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.78 : 1,067.05 = 301.21 : x
  2. Step 2: Convert to fraction form
    711.78/1,067.05 = 301.21/x
  3. Step 3: Cross multiply
    711.78x = 1,067.05 × 301.21
  4. Step 4: Simplify right side
    711.78x = 321,403.84
  5. Step 5: Solve for x
    x = 321,403.84/711.78
  6. Step 6: Final answer
    x = 451.55

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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.