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Finding the Fourth Proportional to 578.43, 866.33 and 361.47

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Solution

The fourth proportional to 578.43, 866.33 and 361.47 is: 541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 866.33 = 361.47 : x
  2. Step 2: Convert to fraction form
    578.43/866.33 = 361.47/x
  3. Step 3: Cross multiply
    578.43x = 866.33 × 361.47
  4. Step 4: Simplify right side
    578.43x = 313,150.50
  5. Step 5: Solve for x
    x = 313,150.50/578.43
  6. Step 6: Final answer
    x = 541.38

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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.