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Finding the Fourth Proportional to 682.83, 1,018.17 and 674.33

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Solution

The fourth proportional to 682.83, 1,018.17 and 674.33 is: 1,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 1,018.17 = 674.33 : x
  2. Step 2: Convert to fraction form
    682.83/1,018.17 = 674.33/x
  3. Step 3: Cross multiply
    682.83x = 1,018.17 × 674.33
  4. Step 4: Simplify right side
    682.83x = 686,577.49
  5. Step 5: Solve for x
    x = 686,577.49/682.83
  6. Step 6: Final answer
    x = 1,005.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.