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Finding the Fourth Proportional to 670.82, 925.83 and 408.79

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Solution

The fourth proportional to 670.82, 925.83 and 408.79 is: 564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.82 : 925.83 = 408.79 : x
  2. Step 2: Convert to fraction form
    670.82/925.83 = 408.79/x
  3. Step 3: Cross multiply
    670.82x = 925.83 × 408.79
  4. Step 4: Simplify right side
    670.82x = 378,470.05
  5. Step 5: Solve for x
    x = 378,470.05/670.82
  6. Step 6: Final answer
    x = 564.19

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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.