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Finding the Fourth Proportional to 442.50, 662.09 and 275.77

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Solution

The fourth proportional to 442.50, 662.09 and 275.77 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 662.09 = 275.77 : x
  2. Step 2: Convert to fraction form
    442.50/662.09 = 275.77/x
  3. Step 3: Cross multiply
    442.50x = 662.09 × 275.77
  4. Step 4: Simplify right side
    442.50x = 182,584.01
  5. Step 5: Solve for x
    x = 182,584.01/442.50
  6. Step 6: Final answer
    x = 412.62

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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.