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Finding the Fourth Proportional to 1,219.78, 1,683.12 and 722.44

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Solution

The fourth proportional to 1,219.78, 1,683.12 and 722.44 is: 996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.78 : 1,683.12 = 722.44 : x
  2. Step 2: Convert to fraction form
    1,219.78/1,683.12 = 722.44/x
  3. Step 3: Cross multiply
    1,219.78x = 1,683.12 × 722.44
  4. Step 4: Simplify right side
    1,219.78x = 1,215,953.21
  5. Step 5: Solve for x
    x = 1,215,953.21/1,219.78
  6. Step 6: Final answer
    x = 996.86

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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.