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Finding the Fourth Proportional to 694.80, 958.82 and 380.06

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Solution

The fourth proportional to 694.80, 958.82 and 380.06 is: 524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.80 : 958.82 = 380.06 : x
  2. Step 2: Convert to fraction form
    694.80/958.82 = 380.06/x
  3. Step 3: Cross multiply
    694.80x = 958.82 × 380.06
  4. Step 4: Simplify right side
    694.80x = 364,408.18
  5. Step 5: Solve for x
    x = 364,408.18/694.80
  6. Step 6: Final answer
    x = 524.48

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Why These Related Problems?

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