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Finding the Fourth Proportional to 670.78, 925.75 and 408.79

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Solution

The fourth proportional to 670.78, 925.75 and 408.79 is: 564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.78 : 925.75 = 408.79 : x
  2. Step 2: Convert to fraction form
    670.78/925.75 = 408.79/x
  3. Step 3: Cross multiply
    670.78x = 925.75 × 408.79
  4. Step 4: Simplify right side
    670.78x = 378,435.30
  5. Step 5: Solve for x
    x = 378,435.30/670.78
  6. Step 6: Final answer
    x = 564.18

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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.