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Finding the Fourth Proportional to 826.46, 1,137.86 and 770.57

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Solution

The fourth proportional to 826.46, 1,137.86 and 770.57 is: 1,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.46 : 1,137.86 = 770.57 : x
  2. Step 2: Convert to fraction form
    826.46/1,137.86 = 770.57/x
  3. Step 3: Cross multiply
    826.46x = 1,137.86 × 770.57
  4. Step 4: Simplify right side
    826.46x = 876,791.24
  5. Step 5: Solve for x
    x = 876,791.24/826.46
  6. Step 6: Final answer
    x = 1,060.91

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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.