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Finding the Fourth Proportional to 403.96, 608.47 and 380.80

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Solution

The fourth proportional to 403.96, 608.47 and 380.80 is: 573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.96 : 608.47 = 380.80 : x
  2. Step 2: Convert to fraction form
    403.96/608.47 = 380.80/x
  3. Step 3: Cross multiply
    403.96x = 608.47 × 380.80
  4. Step 4: Simplify right side
    403.96x = 231,705.38
  5. Step 5: Solve for x
    x = 231,705.38/403.96
  6. Step 6: Final answer
    x = 573.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.