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Finding the Fourth Proportional to 1,219.82, 1,683.69 and 722.63

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Solution

The fourth proportional to 1,219.82, 1,683.69 and 722.63 is: 997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.82 : 1,683.69 = 722.63 : x
  2. Step 2: Convert to fraction form
    1,219.82/1,683.69 = 722.63/x
  3. Step 3: Cross multiply
    1,219.82x = 1,683.69 × 722.63
  4. Step 4: Simplify right side
    1,219.82x = 1,216,684.90
  5. Step 5: Solve for x
    x = 1,216,684.90/1,219.82
  6. Step 6: Final answer
    x = 997.43

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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.