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Finding the Fourth Proportional to 682.24, 1,018.26 and 665.84

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Solution

The fourth proportional to 682.24, 1,018.26 and 665.84 is: 993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.24 : 1,018.26 = 665.84 : x
  2. Step 2: Convert to fraction form
    682.24/1,018.26 = 665.84/x
  3. Step 3: Cross multiply
    682.24x = 1,018.26 × 665.84
  4. Step 4: Simplify right side
    682.24x = 677,998.24
  5. Step 5: Solve for x
    x = 677,998.24/682.24
  6. Step 6: Final answer
    x = 993.78

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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.