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Finding the Fourth Proportional to 683.89, 943.83 and 389.21

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Solution

The fourth proportional to 683.89, 943.83 and 389.21 is: 537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.89 : 943.83 = 389.21 : x
  2. Step 2: Convert to fraction form
    683.89/943.83 = 389.21/x
  3. Step 3: Cross multiply
    683.89x = 943.83 × 389.21
  4. Step 4: Simplify right side
    683.89x = 367,342.26
  5. Step 5: Solve for x
    x = 367,342.26/683.89
  6. Step 6: Final answer
    x = 537.13

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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.