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Finding the Fourth Proportional to 997.44, 1,376.64 and 665.34

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Solution

The fourth proportional to 997.44, 1,376.64 and 665.34 is: 918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.44 : 1,376.64 = 665.34 : x
  2. Step 2: Convert to fraction form
    997.44/1,376.64 = 665.34/x
  3. Step 3: Cross multiply
    997.44x = 1,376.64 × 665.34
  4. Step 4: Simplify right side
    997.44x = 915,933.66
  5. Step 5: Solve for x
    x = 915,933.66/997.44
  6. Step 6: Final answer
    x = 918.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.