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Finding the Fourth Proportional to 412.90, 620.56 and 276.75

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Solution

The fourth proportional to 412.90, 620.56 and 276.75 is: 415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.90 : 620.56 = 276.75 : x
  2. Step 2: Convert to fraction form
    412.90/620.56 = 276.75/x
  3. Step 3: Cross multiply
    412.90x = 620.56 × 276.75
  4. Step 4: Simplify right side
    412.90x = 171,739.98
  5. Step 5: Solve for x
    x = 171,739.98/412.90
  6. Step 6: Final answer
    x = 415.94

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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.