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Finding the Fourth Proportional to 682.29, 935.90 and 676.46

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Solution

The fourth proportional to 682.29, 935.90 and 676.46 is: 927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.29 : 935.90 = 676.46 : x
  2. Step 2: Convert to fraction form
    682.29/935.90 = 676.46/x
  3. Step 3: Cross multiply
    682.29x = 935.90 × 676.46
  4. Step 4: Simplify right side
    682.29x = 633,090.85
  5. Step 5: Solve for x
    x = 633,090.85/682.29
  6. Step 6: Final answer
    x = 927.89

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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.