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Finding the Fourth Proportional to 911.34, 1,256.46 and 762

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Solution

The fourth proportional to 911.34, 1,256.46 and 762 is: 1,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.34 : 1,256.46 = 762 : x
  2. Step 2: Convert to fraction form
    911.34/1,256.46 = 762/x
  3. Step 3: Cross multiply
    911.34x = 1,256.46 × 762
  4. Step 4: Simplify right side
    911.34x = 957,422.52
  5. Step 5: Solve for x
    x = 957,422.52/911.34
  6. Step 6: Final answer
    x = 1,050.57

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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.