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Finding the Fourth Proportional to 578.28, 866.61 and 415.61

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Solution

The fourth proportional to 578.28, 866.61 and 415.61 is: 622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 866.61 = 415.61 : x
  2. Step 2: Convert to fraction form
    578.28/866.61 = 415.61/x
  3. Step 3: Cross multiply
    578.28x = 866.61 × 415.61
  4. Step 4: Simplify right side
    578.28x = 360,167.45
  5. Step 5: Solve for x
    x = 360,167.45/578.28
  6. Step 6: Final answer
    x = 622.83

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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.