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Finding the Fourth Proportional to 578.42, 866.71 and 448.73

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Solution

The fourth proportional to 578.42, 866.71 and 448.73 is: 672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 866.71 = 448.73 : x
  2. Step 2: Convert to fraction form
    578.42/866.71 = 448.73/x
  3. Step 3: Cross multiply
    578.42x = 866.71 × 448.73
  4. Step 4: Simplify right side
    578.42x = 388,912.20
  5. Step 5: Solve for x
    x = 388,912.20/578.42
  6. Step 6: Final answer
    x = 672.38

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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.