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Finding the Fourth Proportional to 1,289.38, 1,933.16 and 665.04

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Solution

The fourth proportional to 1,289.38, 1,933.16 and 665.04 is: 997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.38 : 1,933.16 = 665.04 : x
  2. Step 2: Convert to fraction form
    1,289.38/1,933.16 = 665.04/x
  3. Step 3: Cross multiply
    1,289.38x = 1,933.16 × 665.04
  4. Step 4: Simplify right side
    1,289.38x = 1,285,628.73
  5. Step 5: Solve for x
    x = 1,285,628.73/1,289.38
  6. Step 6: Final answer
    x = 997.09

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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.