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Finding the Fourth Proportional to 1,219.63, 1,682.85 and 722.29

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Solution

The fourth proportional to 1,219.63, 1,682.85 and 722.29 is: 996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.63 : 1,682.85 = 722.29 : x
  2. Step 2: Convert to fraction form
    1,219.63/1,682.85 = 722.29/x
  3. Step 3: Cross multiply
    1,219.63x = 1,682.85 × 722.29
  4. Step 4: Simplify right side
    1,219.63x = 1,215,505.73
  5. Step 5: Solve for x
    x = 1,215,505.73/1,219.63
  6. Step 6: Final answer
    x = 996.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.