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Finding the Fourth Proportional to 711.42, 1,067.94 and 477.33

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Solution

The fourth proportional to 711.42, 1,067.94 and 477.33 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.42 : 1,067.94 = 477.33 : x
  2. Step 2: Convert to fraction form
    711.42/1,067.94 = 477.33/x
  3. Step 3: Cross multiply
    711.42x = 1,067.94 × 477.33
  4. Step 4: Simplify right side
    711.42x = 509,759.80
  5. Step 5: Solve for x
    x = 509,759.80/711.42
  6. Step 6: Final answer
    x = 716.54

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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.