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Finding the Fourth Proportional to 447.02, 670.84 and 301.04

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Solution

The fourth proportional to 447.02, 670.84 and 301.04 is: 451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.02 : 670.84 = 301.04 : x
  2. Step 2: Convert to fraction form
    447.02/670.84 = 301.04/x
  3. Step 3: Cross multiply
    447.02x = 670.84 × 301.04
  4. Step 4: Simplify right side
    447.02x = 201,950.60
  5. Step 5: Solve for x
    x = 201,950.60/447.02
  6. Step 6: Final answer
    x = 451.78

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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.