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Finding the Fourth Proportional to 419.03, 628.70 and 380.75

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Solution

The fourth proportional to 419.03, 628.70 and 380.75 is: 571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.03 : 628.70 = 380.75 : x
  2. Step 2: Convert to fraction form
    419.03/628.70 = 380.75/x
  3. Step 3: Cross multiply
    419.03x = 628.70 × 380.75
  4. Step 4: Simplify right side
    419.03x = 239,377.53
  5. Step 5: Solve for x
    x = 239,377.53/419.03
  6. Step 6: Final answer
    x = 571.27

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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.