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Finding the Fourth Proportional to 711.63, 1,067.49 and 419.55

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Solution

The fourth proportional to 711.63, 1,067.49 and 419.55 is: 629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.63 : 1,067.49 = 419.55 : x
  2. Step 2: Convert to fraction form
    711.63/1,067.49 = 419.55/x
  3. Step 3: Cross multiply
    711.63x = 1,067.49 × 419.55
  4. Step 4: Simplify right side
    711.63x = 447,865.43
  5. Step 5: Solve for x
    x = 447,865.43/711.63
  6. Step 6: Final answer
    x = 629.35

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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.