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Finding the Fourth Proportional to 694.90, 958.97 and 380.16

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Solution

The fourth proportional to 694.90, 958.97 and 380.16 is: 524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.90 : 958.97 = 380.16 : x
  2. Step 2: Convert to fraction form
    694.90/958.97 = 380.16/x
  3. Step 3: Cross multiply
    694.90x = 958.97 × 380.16
  4. Step 4: Simplify right side
    694.90x = 364,560.13
  5. Step 5: Solve for x
    x = 364,560.13/694.90
  6. Step 6: Final answer
    x = 524.62

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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.