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Finding the Fourth Proportional to 812.14, 1,218.21 and 523.78

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Solution

The fourth proportional to 812.14, 1,218.21 and 523.78 is: 785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.14 : 1,218.21 = 523.78 : x
  2. Step 2: Convert to fraction form
    812.14/1,218.21 = 523.78/x
  3. Step 3: Cross multiply
    812.14x = 1,218.21 × 523.78
  4. Step 4: Simplify right side
    812.14x = 638,074.03
  5. Step 5: Solve for x
    x = 638,074.03/812.14
  6. Step 6: Final answer
    x = 785.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.