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Finding the Fourth Proportional to 494.23, 682.36 and 317.27

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Solution

The fourth proportional to 494.23, 682.36 and 317.27 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 682.36 = 317.27 : x
  2. Step 2: Convert to fraction form
    494.23/682.36 = 317.27/x
  3. Step 3: Cross multiply
    494.23x = 682.36 × 317.27
  4. Step 4: Simplify right side
    494.23x = 216,487.36
  5. Step 5: Solve for x
    x = 216,487.36/494.23
  6. Step 6: Final answer
    x = 438.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.