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Finding the Fourth Proportional to 628.42, 866.68 and 441.85

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Solution

The fourth proportional to 628.42, 866.68 and 441.85 is: 609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.42 : 866.68 = 441.85 : x
  2. Step 2: Convert to fraction form
    628.42/866.68 = 441.85/x
  3. Step 3: Cross multiply
    628.42x = 866.68 × 441.85
  4. Step 4: Simplify right side
    628.42x = 382,942.56
  5. Step 5: Solve for x
    x = 382,942.56/628.42
  6. Step 6: Final answer
    x = 609.37

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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.