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Finding the Fourth Proportional to 683.37, 941.91 and 657.85

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Solution

The fourth proportional to 683.37, 941.91 and 657.85 is: 906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.37 : 941.91 = 657.85 : x
  2. Step 2: Convert to fraction form
    683.37/941.91 = 657.85/x
  3. Step 3: Cross multiply
    683.37x = 941.91 × 657.85
  4. Step 4: Simplify right side
    683.37x = 619,635.49
  5. Step 5: Solve for x
    x = 619,635.49/683.37
  6. Step 6: Final answer
    x = 906.73

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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.