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Finding the Fourth Proportional to 812.26, 1,217.58 and 349.84

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Solution

The fourth proportional to 812.26, 1,217.58 and 349.84 is: 524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.26 : 1,217.58 = 349.84 : x
  2. Step 2: Convert to fraction form
    812.26/1,217.58 = 349.84/x
  3. Step 3: Cross multiply
    812.26x = 1,217.58 × 349.84
  4. Step 4: Simplify right side
    812.26x = 425,958.19
  5. Step 5: Solve for x
    x = 425,958.19/812.26
  6. Step 6: Final answer
    x = 524.41

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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.