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Finding the Fourth Proportional to 422.58, 634.47 and 365.40

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Solution

The fourth proportional to 422.58, 634.47 and 365.40 is: 548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.58 : 634.47 = 365.40 : x
  2. Step 2: Convert to fraction form
    422.58/634.47 = 365.40/x
  3. Step 3: Cross multiply
    422.58x = 634.47 × 365.40
  4. Step 4: Simplify right side
    422.58x = 231,835.34
  5. Step 5: Solve for x
    x = 231,835.34/422.58
  6. Step 6: Final answer
    x = 548.62

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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.