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Finding the Fourth Proportional to 682.81, 941.68 and 496.91

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Solution

The fourth proportional to 682.81, 941.68 and 496.91 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.81 : 941.68 = 496.91 : x
  2. Step 2: Convert to fraction form
    682.81/941.68 = 496.91/x
  3. Step 3: Cross multiply
    682.81x = 941.68 × 496.91
  4. Step 4: Simplify right side
    682.81x = 467,930.21
  5. Step 5: Solve for x
    x = 467,930.21/682.81
  6. Step 6: Final answer
    x = 685.30

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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.