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Finding the Fourth Proportional to 496.59, 685.37 and 310.14

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Solution

The fourth proportional to 496.59, 685.37 and 310.14 is: 428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.59 : 685.37 = 310.14 : x
  2. Step 2: Convert to fraction form
    496.59/685.37 = 310.14/x
  3. Step 3: Cross multiply
    496.59x = 685.37 × 310.14
  4. Step 4: Simplify right side
    496.59x = 212,559.10
  5. Step 5: Solve for x
    x = 212,559.10/496.59
  6. Step 6: Final answer
    x = 428.04

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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.