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Finding the Fourth Proportional to 682.48, 1,022.84 and 335.94

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Solution

The fourth proportional to 682.48, 1,022.84 and 335.94 is: 503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.48 : 1,022.84 = 335.94 : x
  2. Step 2: Convert to fraction form
    682.48/1,022.84 = 335.94/x
  3. Step 3: Cross multiply
    682.48x = 1,022.84 × 335.94
  4. Step 4: Simplify right side
    682.48x = 343,612.87
  5. Step 5: Solve for x
    x = 343,612.87/682.48
  6. Step 6: Final answer
    x = 503.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.