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Finding the Fourth Proportional to 812.79, 1,217.67 and 683.61

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Solution

The fourth proportional to 812.79, 1,217.67 and 683.61 is: 1,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.79 : 1,217.67 = 683.61 : x
  2. Step 2: Convert to fraction form
    812.79/1,217.67 = 683.61/x
  3. Step 3: Cross multiply
    812.79x = 1,217.67 × 683.61
  4. Step 4: Simplify right side
    812.79x = 832,411.39
  5. Step 5: Solve for x
    x = 832,411.39/812.79
  6. Step 6: Final answer
    x = 1,024.14

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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.