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Finding the Fourth Proportional to 496.68, 685.85 and 310.48

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Solution

The fourth proportional to 496.68, 685.85 and 310.48 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 685.85 = 310.48 : x
  2. Step 2: Convert to fraction form
    496.68/685.85 = 310.48/x
  3. Step 3: Cross multiply
    496.68x = 685.85 × 310.48
  4. Step 4: Simplify right side
    496.68x = 212,944.17
  5. Step 5: Solve for x
    x = 212,944.17/496.68
  6. Step 6: Final answer
    x = 428.74

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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.