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Finding the Fourth Proportional to 683.82, 943.64 and 389.05

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Solution

The fourth proportional to 683.82, 943.64 and 389.05 is: 536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 943.64 = 389.05 : x
  2. Step 2: Convert to fraction form
    683.82/943.64 = 389.05/x
  3. Step 3: Cross multiply
    683.82x = 943.64 × 389.05
  4. Step 4: Simplify right side
    683.82x = 367,123.14
  5. Step 5: Solve for x
    x = 367,123.14/683.82
  6. Step 6: Final answer
    x = 536.87

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1.5x scale

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.