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Finding the Fourth Proportional to 872.37, 1,305.45 and 758.16

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Solution

The fourth proportional to 872.37, 1,305.45 and 758.16 is: 1,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.37 : 1,305.45 = 758.16 : x
  2. Step 2: Convert to fraction form
    872.37/1,305.45 = 758.16/x
  3. Step 3: Cross multiply
    872.37x = 1,305.45 × 758.16
  4. Step 4: Simplify right side
    872.37x = 989,739.97
  5. Step 5: Solve for x
    x = 989,739.97/872.37
  6. Step 6: Final answer
    x = 1,134.54

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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.