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Finding the Fourth Proportional to 682.21, 1,023.79 and 317.03

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Solution

The fourth proportional to 682.21, 1,023.79 and 317.03 is: 475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.21 : 1,023.79 = 317.03 : x
  2. Step 2: Convert to fraction form
    682.21/1,023.79 = 317.03/x
  3. Step 3: Cross multiply
    682.21x = 1,023.79 × 317.03
  4. Step 4: Simplify right side
    682.21x = 324,573.91
  5. Step 5: Solve for x
    x = 324,573.91/682.21
  6. Step 6: Final answer
    x = 475.77

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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.