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Finding the Fourth Proportional to 683.69, 943.56 and 389.03

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Solution

The fourth proportional to 683.69, 943.56 and 389.03 is: 536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.69 : 943.56 = 389.03 : x
  2. Step 2: Convert to fraction form
    683.69/943.56 = 389.03/x
  3. Step 3: Cross multiply
    683.69x = 943.56 × 389.03
  4. Step 4: Simplify right side
    683.69x = 367,068.43
  5. Step 5: Solve for x
    x = 367,068.43/683.69
  6. Step 6: Final answer
    x = 536.90

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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.