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Finding the Fourth Proportional to 449.89, 675.29 and 287.69

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Solution

The fourth proportional to 449.89, 675.29 and 287.69 is: 431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.89 : 675.29 = 287.69 : x
  2. Step 2: Convert to fraction form
    449.89/675.29 = 287.69/x
  3. Step 3: Cross multiply
    449.89x = 675.29 × 287.69
  4. Step 4: Simplify right side
    449.89x = 194,270.80
  5. Step 5: Solve for x
    x = 194,270.80/449.89
  6. Step 6: Final answer
    x = 431.82

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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.