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Finding the Fourth Proportional to 683.88, 943.68 and 389.12

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Solution

The fourth proportional to 683.88, 943.68 and 389.12 is: 536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.88 : 943.68 = 389.12 : x
  2. Step 2: Convert to fraction form
    683.88/943.68 = 389.12/x
  3. Step 3: Cross multiply
    683.88x = 943.68 × 389.12
  4. Step 4: Simplify right side
    683.88x = 367,204.76
  5. Step 5: Solve for x
    x = 367,204.76/683.88
  6. Step 6: Final answer
    x = 536.94

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Half scale
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Double scale
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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.