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Finding the Fourth Proportional to 685.62, 945.78 and 519.54

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Solution

The fourth proportional to 685.62, 945.78 and 519.54 is: 716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.62 : 945.78 = 519.54 : x
  2. Step 2: Convert to fraction form
    685.62/945.78 = 519.54/x
  3. Step 3: Cross multiply
    685.62x = 945.78 × 519.54
  4. Step 4: Simplify right side
    685.62x = 491,370.54
  5. Step 5: Solve for x
    x = 491,370.54/685.62
  6. Step 6: Final answer
    x = 716.68

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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.