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Finding the Fourth Proportional to 683.88, 943.78 and 389.14

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Solution

The fourth proportional to 683.88, 943.78 and 389.14 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.88 : 943.78 = 389.14 : x
  2. Step 2: Convert to fraction form
    683.88/943.78 = 389.14/x
  3. Step 3: Cross multiply
    683.88x = 943.78 × 389.14
  4. Step 4: Simplify right side
    683.88x = 367,262.55
  5. Step 5: Solve for x
    x = 367,262.55/683.88
  6. Step 6: Final answer
    x = 537.03

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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.