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Finding the Fourth Proportional to 682.99, 1,018.00 and 660.49

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Solution

The fourth proportional to 682.99, 1,018.00 and 660.49 is: 984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.99 : 1,018.00 = 660.49 : x
  2. Step 2: Convert to fraction form
    682.99/1,018.00 = 660.49/x
  3. Step 3: Cross multiply
    682.99x = 1,018.00 × 660.49
  4. Step 4: Simplify right side
    682.99x = 672,374.62
  5. Step 5: Solve for x
    x = 672,374.62/682.99
  6. Step 6: Final answer
    x = 984.46

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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.