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Finding the Fourth Proportional to 872.10, 1,301.76 and 762.75

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Solution

The fourth proportional to 872.10, 1,301.76 and 762.75 is: 1,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.10 : 1,301.76 = 762.75 : x
  2. Step 2: Convert to fraction form
    872.10/1,301.76 = 762.75/x
  3. Step 3: Cross multiply
    872.10x = 1,301.76 × 762.75
  4. Step 4: Simplify right side
    872.10x = 992,917.44
  5. Step 5: Solve for x
    x = 992,917.44/872.10
  6. Step 6: Final answer
    x = 1,138.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.