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Finding the Fourth Proportional to 578.44, 866.43 and 480.70

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Solution

The fourth proportional to 578.44, 866.43 and 480.70 is: 720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.44 : 866.43 = 480.70 : x
  2. Step 2: Convert to fraction form
    578.44/866.43 = 480.70/x
  3. Step 3: Cross multiply
    578.44x = 866.43 × 480.70
  4. Step 4: Simplify right side
    578.44x = 416,493.98
  5. Step 5: Solve for x
    x = 416,493.98/578.44
  6. Step 6: Final answer
    x = 720.03

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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.