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Finding the Fourth Proportional to 496.75, 685.38 and 310.43

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Solution

The fourth proportional to 496.75, 685.38 and 310.43 is: 428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.75 : 685.38 = 310.43 : x
  2. Step 2: Convert to fraction form
    496.75/685.38 = 310.43/x
  3. Step 3: Cross multiply
    496.75x = 685.38 × 310.43
  4. Step 4: Simplify right side
    496.75x = 212,762.20
  5. Step 5: Solve for x
    x = 212,762.20/496.75
  6. Step 6: Final answer
    x = 428.31

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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.