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Finding the Fourth Proportional to 637.26, 878.46 and 415.83

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Solution

The fourth proportional to 637.26, 878.46 and 415.83 is: 573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.26 : 878.46 = 415.83 : x
  2. Step 2: Convert to fraction form
    637.26/878.46 = 415.83/x
  3. Step 3: Cross multiply
    637.26x = 878.46 × 415.83
  4. Step 4: Simplify right side
    637.26x = 365,290.02
  5. Step 5: Solve for x
    x = 365,290.02/637.26
  6. Step 6: Final answer
    x = 573.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.