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Finding the Fourth Proportional to 682.44, 940.46 and 495.74

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Solution

The fourth proportional to 682.44, 940.46 and 495.74 is: 683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.44 : 940.46 = 495.74 : x
  2. Step 2: Convert to fraction form
    682.44/940.46 = 495.74/x
  3. Step 3: Cross multiply
    682.44x = 940.46 × 495.74
  4. Step 4: Simplify right side
    682.44x = 466,216.46
  5. Step 5: Solve for x
    x = 466,216.46/682.44
  6. Step 6: Final answer
    x = 683.16

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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.