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Finding the Fourth Proportional to 496.64, 685.38 and 310.16

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Solution

The fourth proportional to 496.64, 685.38 and 310.16 is: 428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.64 : 685.38 = 310.16 : x
  2. Step 2: Convert to fraction form
    496.64/685.38 = 310.16/x
  3. Step 3: Cross multiply
    496.64x = 685.38 × 310.16
  4. Step 4: Simplify right side
    496.64x = 212,577.46
  5. Step 5: Solve for x
    x = 212,577.46/496.64
  6. Step 6: Final answer
    x = 428.03

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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.