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Finding the Fourth Proportional to 553.94, 764.18 and 367.16

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Solution

The fourth proportional to 553.94, 764.18 and 367.16 is: 506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.94 : 764.18 = 367.16 : x
  2. Step 2: Convert to fraction form
    553.94/764.18 = 367.16/x
  3. Step 3: Cross multiply
    553.94x = 764.18 × 367.16
  4. Step 4: Simplify right side
    553.94x = 280,576.33
  5. Step 5: Solve for x
    x = 280,576.33/553.94
  6. Step 6: Final answer
    x = 506.51

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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.