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Finding the Fourth Proportional to 419.05, 628.30 and 375.85

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Solution

The fourth proportional to 419.05, 628.30 and 375.85 is: 563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.05 : 628.30 = 375.85 : x
  2. Step 2: Convert to fraction form
    419.05/628.30 = 375.85/x
  3. Step 3: Cross multiply
    419.05x = 628.30 × 375.85
  4. Step 4: Simplify right side
    419.05x = 236,146.56
  5. Step 5: Solve for x
    x = 236,146.56/419.05
  6. Step 6: Final answer
    x = 563.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.