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Finding the Fourth Proportional to 449.55, 674.60 and 287.37

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Solution

The fourth proportional to 449.55, 674.60 and 287.37 is: 431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.55 : 674.60 = 287.37 : x
  2. Step 2: Convert to fraction form
    449.55/674.60 = 287.37/x
  3. Step 3: Cross multiply
    449.55x = 674.60 × 287.37
  4. Step 4: Simplify right side
    449.55x = 193,858.37
  5. Step 5: Solve for x
    x = 193,858.37/449.55
  6. Step 6: Final answer
    x = 431.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.