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Finding the Fourth Proportional to 676.96, 1,015.86 and 311.80

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Solution

The fourth proportional to 676.96, 1,015.86 and 311.80 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.96 : 1,015.86 = 311.80 : x
  2. Step 2: Convert to fraction form
    676.96/1,015.86 = 311.80/x
  3. Step 3: Cross multiply
    676.96x = 1,015.86 × 311.80
  4. Step 4: Simplify right side
    676.96x = 316,745.15
  5. Step 5: Solve for x
    x = 316,745.15/676.96
  6. Step 6: Final answer
    x = 467.89

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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.