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Finding the Fourth Proportional to 683.76, 943.73 and 404.18

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Solution

The fourth proportional to 683.76, 943.73 and 404.18 is: 557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 943.73 = 404.18 : x
  2. Step 2: Convert to fraction form
    683.76/943.73 = 404.18/x
  3. Step 3: Cross multiply
    683.76x = 943.73 × 404.18
  4. Step 4: Simplify right side
    683.76x = 381,436.79
  5. Step 5: Solve for x
    x = 381,436.79/683.76
  6. Step 6: Final answer
    x = 557.85

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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.