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Finding the Fourth Proportional to 773.50, 1,067.43 and 419.42

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Solution

The fourth proportional to 773.50, 1,067.43 and 419.42 is: 578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.50 : 1,067.43 = 419.42 : x
  2. Step 2: Convert to fraction form
    773.50/1,067.43 = 419.42/x
  3. Step 3: Cross multiply
    773.50x = 1,067.43 × 419.42
  4. Step 4: Simplify right side
    773.50x = 447,706.81
  5. Step 5: Solve for x
    x = 447,706.81/773.50
  6. Step 6: Final answer
    x = 578.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.