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Finding the Fourth Proportional to 683.43, 1,024.68 and 391.26

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Solution

The fourth proportional to 683.43, 1,024.68 and 391.26 is: 586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.43 : 1,024.68 = 391.26 : x
  2. Step 2: Convert to fraction form
    683.43/1,024.68 = 391.26/x
  3. Step 3: Cross multiply
    683.43x = 1,024.68 × 391.26
  4. Step 4: Simplify right side
    683.43x = 400,916.30
  5. Step 5: Solve for x
    x = 400,916.30/683.43
  6. Step 6: Final answer
    x = 586.62

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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.