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Finding the Fourth Proportional to 676.27, 1,014.72 and 665.35

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Solution

The fourth proportional to 676.27, 1,014.72 and 665.35 is: 998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.27 : 1,014.72 = 665.35 : x
  2. Step 2: Convert to fraction form
    676.27/1,014.72 = 665.35/x
  3. Step 3: Cross multiply
    676.27x = 1,014.72 × 665.35
  4. Step 4: Simplify right side
    676.27x = 675,143.95
  5. Step 5: Solve for x
    x = 675,143.95/676.27
  6. Step 6: Final answer
    x = 998.33

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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.