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Finding the Fourth Proportional to 682.23, 1,022.17 and 374.30

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Solution

The fourth proportional to 682.23, 1,022.17 and 374.30 is: 560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.23 : 1,022.17 = 374.30 : x
  2. Step 2: Convert to fraction form
    682.23/1,022.17 = 374.30/x
  3. Step 3: Cross multiply
    682.23x = 1,022.17 × 374.30
  4. Step 4: Simplify right side
    682.23x = 382,598.23
  5. Step 5: Solve for x
    x = 382,598.23/682.23
  6. Step 6: Final answer
    x = 560.81

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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.