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Finding the Fourth Proportional to 826.84, 1,234.19 and 766.75

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Solution

The fourth proportional to 826.84, 1,234.19 and 766.75 is: 1,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.84 : 1,234.19 = 766.75 : x
  2. Step 2: Convert to fraction form
    826.84/1,234.19 = 766.75/x
  3. Step 3: Cross multiply
    826.84x = 1,234.19 × 766.75
  4. Step 4: Simplify right side
    826.84x = 946,315.18
  5. Step 5: Solve for x
    x = 946,315.18/826.84
  6. Step 6: Final answer
    x = 1,144.50

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Why These Related Problems?

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