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Finding the Fourth Proportional to 654.91, 982.46 and 380.86

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Solution

The fourth proportional to 654.91, 982.46 and 380.86 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.91 : 982.46 = 380.86 : x
  2. Step 2: Convert to fraction form
    654.91/982.46 = 380.86/x
  3. Step 3: Cross multiply
    654.91x = 982.46 × 380.86
  4. Step 4: Simplify right side
    654.91x = 374,178.21
  5. Step 5: Solve for x
    x = 374,178.21/654.91
  6. Step 6: Final answer
    x = 571.35

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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.