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Finding the Fourth Proportional to 408.64, 612 and 403.68

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Solution

The fourth proportional to 408.64, 612 and 403.68 is: 604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.64 : 612 = 403.68 : x
  2. Step 2: Convert to fraction form
    408.64/612 = 403.68/x
  3. Step 3: Cross multiply
    408.64x = 612 × 403.68
  4. Step 4: Simplify right side
    408.64x = 247,052.16
  5. Step 5: Solve for x
    x = 247,052.16/408.64
  6. Step 6: Final answer
    x = 604.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.