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Finding the Fourth Proportional to 1,219.55, 1,682.99 and 722.18

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Solution

The fourth proportional to 1,219.55, 1,682.99 and 722.18 is: 996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.55 : 1,682.99 = 722.18 : x
  2. Step 2: Convert to fraction form
    1,219.55/1,682.99 = 722.18/x
  3. Step 3: Cross multiply
    1,219.55x = 1,682.99 × 722.18
  4. Step 4: Simplify right side
    1,219.55x = 1,215,409.69
  5. Step 5: Solve for x
    x = 1,215,409.69/1,219.55
  6. Step 6: Final answer
    x = 996.61

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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.