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Finding the Fourth Proportional to 812.79, 1,219.49 and 722.17

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Solution

The fourth proportional to 812.79, 1,219.49 and 722.17 is: 1,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.79 : 1,219.49 = 722.17 : x
  2. Step 2: Convert to fraction form
    812.79/1,219.49 = 722.17/x
  3. Step 3: Cross multiply
    812.79x = 1,219.49 × 722.17
  4. Step 4: Simplify right side
    812.79x = 880,679.09
  5. Step 5: Solve for x
    x = 880,679.09/812.79
  6. Step 6: Final answer
    x = 1,083.53

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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.