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Finding the Fourth Proportional to 447.06, 669.35 and 337.04

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Solution

The fourth proportional to 447.06, 669.35 and 337.04 is: 504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.06 : 669.35 = 337.04 : x
  2. Step 2: Convert to fraction form
    447.06/669.35 = 337.04/x
  3. Step 3: Cross multiply
    447.06x = 669.35 × 337.04
  4. Step 4: Simplify right side
    447.06x = 225,596.05
  5. Step 5: Solve for x
    x = 225,596.05/447.06
  6. Step 6: Final answer
    x = 504.62

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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.