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Finding the Fourth Proportional to 635.03, 950.83 and 415.11

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Solution

The fourth proportional to 635.03, 950.83 and 415.11 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.03 : 950.83 = 415.11 : x
  2. Step 2: Convert to fraction form
    635.03/950.83 = 415.11/x
  3. Step 3: Cross multiply
    635.03x = 950.83 × 415.11
  4. Step 4: Simplify right side
    635.03x = 394,698.00
  5. Step 5: Solve for x
    x = 394,698.00/635.03
  6. Step 6: Final answer
    x = 621.54

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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.