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Finding the Fourth Proportional to 820.84, 1,234.14 and 676.84

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Solution

The fourth proportional to 820.84, 1,234.14 and 676.84 is: 1,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.84 : 1,234.14 = 676.84 : x
  2. Step 2: Convert to fraction form
    820.84/1,234.14 = 676.84/x
  3. Step 3: Cross multiply
    820.84x = 1,234.14 × 676.84
  4. Step 4: Simplify right side
    820.84x = 835,315.32
  5. Step 5: Solve for x
    x = 835,315.32/820.84
  6. Step 6: Final answer
    x = 1,017.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.