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Finding the Fourth Proportional to 812.71, 1,219.24 and 379.63

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Solution

The fourth proportional to 812.71, 1,219.24 and 379.63 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.71 : 1,219.24 = 379.63 : x
  2. Step 2: Convert to fraction form
    812.71/1,219.24 = 379.63/x
  3. Step 3: Cross multiply
    812.71x = 1,219.24 × 379.63
  4. Step 4: Simplify right side
    812.71x = 462,853.99
  5. Step 5: Solve for x
    x = 462,853.99/812.71
  6. Step 6: Final answer
    x = 569.52

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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.