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Finding the Fourth Proportional to 553.91, 764.69 and 367.84

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Solution

The fourth proportional to 553.91, 764.69 and 367.84 is: 507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.91 : 764.69 = 367.84 : x
  2. Step 2: Convert to fraction form
    553.91/764.69 = 367.84/x
  3. Step 3: Cross multiply
    553.91x = 764.69 × 367.84
  4. Step 4: Simplify right side
    553.91x = 281,284.76
  5. Step 5: Solve for x
    x = 281,284.76/553.91
  6. Step 6: Final answer
    x = 507.81

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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.