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Finding the Fourth Proportional to 683.82, 943.68 and 404.08

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Solution

The fourth proportional to 683.82, 943.68 and 404.08 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 943.68 = 404.08 : x
  2. Step 2: Convert to fraction form
    683.82/943.68 = 404.08/x
  3. Step 3: Cross multiply
    683.82x = 943.68 × 404.08
  4. Step 4: Simplify right side
    683.82x = 381,322.21
  5. Step 5: Solve for x
    x = 381,322.21/683.82
  6. Step 6: Final answer
    x = 557.64

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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.