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Finding the Fourth Proportional to 496.70, 685.66 and 310.15

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Solution

The fourth proportional to 496.70, 685.66 and 310.15 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.70 : 685.66 = 310.15 : x
  2. Step 2: Convert to fraction form
    496.70/685.66 = 310.15/x
  3. Step 3: Cross multiply
    496.70x = 685.66 × 310.15
  4. Step 4: Simplify right side
    496.70x = 212,654.96
  5. Step 5: Solve for x
    x = 212,654.96/496.70
  6. Step 6: Final answer
    x = 428.14

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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.