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Finding the Fourth Proportional to 449.28, 675.84 and 405.12

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Solution

The fourth proportional to 449.28, 675.84 and 405.12 is: 609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.28 : 675.84 = 405.12 : x
  2. Step 2: Convert to fraction form
    449.28/675.84 = 405.12/x
  3. Step 3: Cross multiply
    449.28x = 675.84 × 405.12
  4. Step 4: Simplify right side
    449.28x = 273,796.30
  5. Step 5: Solve for x
    x = 273,796.30/449.28
  6. Step 6: Final answer
    x = 609.41

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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.