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Finding the Fourth Proportional to 682.82, 935.73 and 617.21

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Solution

The fourth proportional to 682.82, 935.73 and 617.21 is: 845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.82 : 935.73 = 617.21 : x
  2. Step 2: Convert to fraction form
    682.82/935.73 = 617.21/x
  3. Step 3: Cross multiply
    682.82x = 935.73 × 617.21
  4. Step 4: Simplify right side
    682.82x = 577,541.91
  5. Step 5: Solve for x
    x = 577,541.91/682.82
  6. Step 6: Final answer
    x = 845.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.