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Finding the Fourth Proportional to 497.10, 685.84 and 300.60

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Solution

The fourth proportional to 497.10, 685.84 and 300.60 is: 414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.10 : 685.84 = 300.60 : x
  2. Step 2: Convert to fraction form
    497.10/685.84 = 300.60/x
  3. Step 3: Cross multiply
    497.10x = 685.84 × 300.60
  4. Step 4: Simplify right side
    497.10x = 206,163.50
  5. Step 5: Solve for x
    x = 206,163.50/497.10
  6. Step 6: Final answer
    x = 414.73

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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.