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Finding the Fourth Proportional to 682.25, 940.43 and 445.78

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Solution

The fourth proportional to 682.25, 940.43 and 445.78 is: 614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.25 : 940.43 = 445.78 : x
  2. Step 2: Convert to fraction form
    682.25/940.43 = 445.78/x
  3. Step 3: Cross multiply
    682.25x = 940.43 × 445.78
  4. Step 4: Simplify right side
    682.25x = 419,224.89
  5. Step 5: Solve for x
    x = 419,224.89/682.25
  6. Step 6: Final answer
    x = 614.47

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1.5x scale

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.