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Finding the Fourth Proportional to 553.78, 764.29 and 536.78

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Solution

The fourth proportional to 553.78, 764.29 and 536.78 is: 740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.78 : 764.29 = 536.78 : x
  2. Step 2: Convert to fraction form
    553.78/764.29 = 536.78/x
  3. Step 3: Cross multiply
    553.78x = 764.29 × 536.78
  4. Step 4: Simplify right side
    553.78x = 410,255.59
  5. Step 5: Solve for x
    x = 410,255.59/553.78
  6. Step 6: Final answer
    x = 740.83

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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.