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Finding the Fourth Proportional to 711.79, 1,067.41 and 218.05

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Solution

The fourth proportional to 711.79, 1,067.41 and 218.05 is: 326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.79 : 1,067.41 = 218.05 : x
  2. Step 2: Convert to fraction form
    711.79/1,067.41 = 218.05/x
  3. Step 3: Cross multiply
    711.79x = 1,067.41 × 218.05
  4. Step 4: Simplify right side
    711.79x = 232,748.75
  5. Step 5: Solve for x
    x = 232,748.75/711.79
  6. Step 6: Final answer
    x = 326.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.