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Finding the Fourth Proportional to 479, 659.30 and 408.84

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Solution

The fourth proportional to 479, 659.30 and 408.84 is: 562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    479 : 659.30 = 408.84 : x
  2. Step 2: Convert to fraction form
    479/659.30 = 408.84/x
  3. Step 3: Cross multiply
    479x = 659.30 × 408.84
  4. Step 4: Simplify right side
    479x = 269,548.21
  5. Step 5: Solve for x
    x = 269,548.21/479
  6. Step 6: Final answer
    x = 562.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.