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Finding the Fourth Proportional to 814, 1,220.46 and 380.92

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Solution

The fourth proportional to 814, 1,220.46 and 380.92 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 1,220.46 = 380.92 : x
  2. Step 2: Convert to fraction form
    814/1,220.46 = 380.92/x
  3. Step 3: Cross multiply
    814x = 1,220.46 × 380.92
  4. Step 4: Simplify right side
    814x = 464,897.62
  5. Step 5: Solve for x
    x = 464,897.62/814
  6. Step 6: Final answer
    x = 571.13

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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.