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Finding the Fourth Proportional to 415.92, 620.79 and 367.32

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Solution

The fourth proportional to 415.92, 620.79 and 367.32 is: 548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.92 : 620.79 = 367.32 : x
  2. Step 2: Convert to fraction form
    415.92/620.79 = 367.32/x
  3. Step 3: Cross multiply
    415.92x = 620.79 × 367.32
  4. Step 4: Simplify right side
    415.92x = 228,028.58
  5. Step 5: Solve for x
    x = 228,028.58/415.92
  6. Step 6: Final answer
    x = 548.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.