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Finding the Fourth Proportional to 812.74, 1,217.30 and 378.58

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Solution

The fourth proportional to 812.74, 1,217.30 and 378.58 is: 567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.74 : 1,217.30 = 378.58 : x
  2. Step 2: Convert to fraction form
    812.74/1,217.30 = 378.58/x
  3. Step 3: Cross multiply
    812.74x = 1,217.30 × 378.58
  4. Step 4: Simplify right side
    812.74x = 460,845.43
  5. Step 5: Solve for x
    x = 460,845.43/812.74
  6. Step 6: Final answer
    x = 567.03

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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.