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Finding the Fourth Proportional to 812.71, 1,218.07 and 349.51

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Solution

The fourth proportional to 812.71, 1,218.07 and 349.51 is: 523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.71 : 1,218.07 = 349.51 : x
  2. Step 2: Convert to fraction form
    812.71/1,218.07 = 349.51/x
  3. Step 3: Cross multiply
    812.71x = 1,218.07 × 349.51
  4. Step 4: Simplify right side
    812.71x = 425,723.73
  5. Step 5: Solve for x
    x = 425,723.73/812.71
  6. Step 6: Final answer
    x = 523.83

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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.