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Finding the Fourth Proportional to 676.37, 1,013.78 and 306.11

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Solution

The fourth proportional to 676.37, 1,013.78 and 306.11 is: 458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.37 : 1,013.78 = 306.11 : x
  2. Step 2: Convert to fraction form
    676.37/1,013.78 = 306.11/x
  3. Step 3: Cross multiply
    676.37x = 1,013.78 × 306.11
  4. Step 4: Simplify right side
    676.37x = 310,321.60
  5. Step 5: Solve for x
    x = 310,321.60/676.37
  6. Step 6: Final answer
    x = 458.80

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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.