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Finding the Fourth Proportional to 682.62, 1,023.78 and 317.06

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Solution

The fourth proportional to 682.62, 1,023.78 and 317.06 is: 475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 1,023.78 = 317.06 : x
  2. Step 2: Convert to fraction form
    682.62/1,023.78 = 317.06/x
  3. Step 3: Cross multiply
    682.62x = 1,023.78 × 317.06
  4. Step 4: Simplify right side
    682.62x = 324,599.69
  5. Step 5: Solve for x
    x = 324,599.69/682.62
  6. Step 6: Final answer
    x = 475.52

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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.