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Finding the Fourth Proportional to 578.25, 866.61 and 415.59

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Solution

The fourth proportional to 578.25, 866.61 and 415.59 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 866.61 = 415.59 : x
  2. Step 2: Convert to fraction form
    578.25/866.61 = 415.59/x
  3. Step 3: Cross multiply
    578.25x = 866.61 × 415.59
  4. Step 4: Simplify right side
    578.25x = 360,154.45
  5. Step 5: Solve for x
    x = 360,154.45/578.25
  6. Step 6: Final answer
    x = 622.84

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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.