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Finding the Fourth Proportional to 685.74, 945.49 and 476.09

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Solution

The fourth proportional to 685.74, 945.49 and 476.09 is: 656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.74 : 945.49 = 476.09 : x
  2. Step 2: Convert to fraction form
    685.74/945.49 = 476.09/x
  3. Step 3: Cross multiply
    685.74x = 945.49 × 476.09
  4. Step 4: Simplify right side
    685.74x = 450,138.33
  5. Step 5: Solve for x
    x = 450,138.33/685.74
  6. Step 6: Final answer
    x = 656.43

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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.