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Finding the Fourth Proportional to 553.58, 764.12 and 367.09

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Solution

The fourth proportional to 553.58, 764.12 and 367.09 is: 506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.58 : 764.12 = 367.09 : x
  2. Step 2: Convert to fraction form
    553.58/764.12 = 367.09/x
  3. Step 3: Cross multiply
    553.58x = 764.12 × 367.09
  4. Step 4: Simplify right side
    553.58x = 280,499.82
  5. Step 5: Solve for x
    x = 280,499.82/553.58
  6. Step 6: Final answer
    x = 506.70

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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.