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Finding the Fourth Proportional to 665.44, 997.84 and 275.36

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Solution

The fourth proportional to 665.44, 997.84 and 275.36 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 997.84 = 275.36 : x
  2. Step 2: Convert to fraction form
    665.44/997.84 = 275.36/x
  3. Step 3: Cross multiply
    665.44x = 997.84 × 275.36
  4. Step 4: Simplify right side
    665.44x = 274,765.22
  5. Step 5: Solve for x
    x = 274,765.22/665.44
  6. Step 6: Final answer
    x = 412.91

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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.