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Finding the Fourth Proportional to 1,314.09, 1,971.81 and 665.01

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Solution

The fourth proportional to 1,314.09, 1,971.81 and 665.01 is: 997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.09 : 1,971.81 = 665.01 : x
  2. Step 2: Convert to fraction form
    1,314.09/1,971.81 = 665.01/x
  3. Step 3: Cross multiply
    1,314.09x = 1,971.81 × 665.01
  4. Step 4: Simplify right side
    1,314.09x = 1,311,273.37
  5. Step 5: Solve for x
    x = 1,311,273.37/1,314.09
  6. Step 6: Final answer
    x = 997.86

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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.