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Finding the Fourth Proportional to 578.18, 866.86 and 415.78

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Solution

The fourth proportional to 578.18, 866.86 and 415.78 is: 623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.18 : 866.86 = 415.78 : x
  2. Step 2: Convert to fraction form
    578.18/866.86 = 415.78/x
  3. Step 3: Cross multiply
    578.18x = 866.86 × 415.78
  4. Step 4: Simplify right side
    578.18x = 360,423.05
  5. Step 5: Solve for x
    x = 360,423.05/578.18
  6. Step 6: Final answer
    x = 623.38

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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.