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Finding the Fourth Proportional to 682.44, 1,022.70 and 393.28

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Solution

The fourth proportional to 682.44, 1,022.70 and 393.28 is: 589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.44 : 1,022.70 = 393.28 : x
  2. Step 2: Convert to fraction form
    682.44/1,022.70 = 393.28/x
  3. Step 3: Cross multiply
    682.44x = 1,022.70 × 393.28
  4. Step 4: Simplify right side
    682.44x = 402,207.46
  5. Step 5: Solve for x
    x = 402,207.46/682.44
  6. Step 6: Final answer
    x = 589.37

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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.