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Finding the Fourth Proportional to 685.43, 945.46 and 419.75

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Solution

The fourth proportional to 685.43, 945.46 and 419.75 is: 578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.43 : 945.46 = 419.75 : x
  2. Step 2: Convert to fraction form
    685.43/945.46 = 419.75/x
  3. Step 3: Cross multiply
    685.43x = 945.46 × 419.75
  4. Step 4: Simplify right side
    685.43x = 396,856.84
  5. Step 5: Solve for x
    x = 396,856.84/685.43
  6. Step 6: Final answer
    x = 578.99

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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.