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Finding the Fourth Proportional to 878.44, 1,315.88 and 415.60

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Solution

The fourth proportional to 878.44, 1,315.88 and 415.60 is: 622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.44 : 1,315.88 = 415.60 : x
  2. Step 2: Convert to fraction form
    878.44/1,315.88 = 415.60/x
  3. Step 3: Cross multiply
    878.44x = 1,315.88 × 415.60
  4. Step 4: Simplify right side
    878.44x = 546,879.73
  5. Step 5: Solve for x
    x = 546,879.73/878.44
  6. Step 6: Final answer
    x = 622.56

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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.