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Finding the Fourth Proportional to 449.34, 675.03 and 387.83

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Solution

The fourth proportional to 449.34, 675.03 and 387.83 is: 582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 675.03 = 387.83 : x
  2. Step 2: Convert to fraction form
    449.34/675.03 = 387.83/x
  3. Step 3: Cross multiply
    449.34x = 675.03 × 387.83
  4. Step 4: Simplify right side
    449.34x = 261,795.31
  5. Step 5: Solve for x
    x = 261,795.31/449.34
  6. Step 6: Final answer
    x = 582.62

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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.