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Finding the Fourth Proportional to 601.82, 902.19 and 419.30

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Solution

The fourth proportional to 601.82, 902.19 and 419.30 is: 628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 902.19 = 419.30 : x
  2. Step 2: Convert to fraction form
    601.82/902.19 = 419.30/x
  3. Step 3: Cross multiply
    601.82x = 902.19 × 419.30
  4. Step 4: Simplify right side
    601.82x = 378,288.27
  5. Step 5: Solve for x
    x = 378,288.27/601.82
  6. Step 6: Final answer
    x = 628.57

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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.