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Finding the Fourth Proportional to 812.46, 1,219.08 and 379.64

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Solution

The fourth proportional to 812.46, 1,219.08 and 379.64 is: 569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.46 : 1,219.08 = 379.64 : x
  2. Step 2: Convert to fraction form
    812.46/1,219.08 = 379.64/x
  3. Step 3: Cross multiply
    812.46x = 1,219.08 × 379.64
  4. Step 4: Simplify right side
    812.46x = 462,811.53
  5. Step 5: Solve for x
    x = 462,811.53/812.46
  6. Step 6: Final answer
    x = 569.64

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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.