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Finding the Fourth Proportional to 578.68, 866.19 and 415.57

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Solution

The fourth proportional to 578.68, 866.19 and 415.57 is: 622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 866.19 = 415.57 : x
  2. Step 2: Convert to fraction form
    578.68/866.19 = 415.57/x
  3. Step 3: Cross multiply
    578.68x = 866.19 × 415.57
  4. Step 4: Simplify right side
    578.68x = 359,962.58
  5. Step 5: Solve for x
    x = 359,962.58/578.68
  6. Step 6: Final answer
    x = 622.04

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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.