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Finding the Fourth Proportional to 419.72, 629.60 and 258.44

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Solution

The fourth proportional to 419.72, 629.60 and 258.44 is: 387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.72 : 629.60 = 258.44 : x
  2. Step 2: Convert to fraction form
    419.72/629.60 = 258.44/x
  3. Step 3: Cross multiply
    419.72x = 629.60 × 258.44
  4. Step 4: Simplify right side
    419.72x = 162,713.82
  5. Step 5: Solve for x
    x = 162,713.82/419.72
  6. Step 6: Final answer
    x = 387.67

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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.