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Finding the Fourth Proportional to 683.80, 943.54 and 389.05

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Solution

The fourth proportional to 683.80, 943.54 and 389.05 is: 536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.80 : 943.54 = 389.05 : x
  2. Step 2: Convert to fraction form
    683.80/943.54 = 389.05/x
  3. Step 3: Cross multiply
    683.80x = 943.54 × 389.05
  4. Step 4: Simplify right side
    683.80x = 367,084.24
  5. Step 5: Solve for x
    x = 367,084.24/683.80
  6. Step 6: Final answer
    x = 536.83

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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.