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Finding the Fourth Proportional to 872.51, 1,201.44 and 754.27

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Solution

The fourth proportional to 872.51, 1,201.44 and 754.27 is: 1,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.51 : 1,201.44 = 754.27 : x
  2. Step 2: Convert to fraction form
    872.51/1,201.44 = 754.27/x
  3. Step 3: Cross multiply
    872.51x = 1,201.44 × 754.27
  4. Step 4: Simplify right side
    872.51x = 906,210.15
  5. Step 5: Solve for x
    x = 906,210.15/872.51
  6. Step 6: Final answer
    x = 1,038.62

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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.