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Finding the Fourth Proportional to 676.95, 1,014.67 and 266.01

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Solution

The fourth proportional to 676.95, 1,014.67 and 266.01 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.95 : 1,014.67 = 266.01 : x
  2. Step 2: Convert to fraction form
    676.95/1,014.67 = 266.01/x
  3. Step 3: Cross multiply
    676.95x = 1,014.67 × 266.01
  4. Step 4: Simplify right side
    676.95x = 269,912.37
  5. Step 5: Solve for x
    x = 269,912.37/676.95
  6. Step 6: Final answer
    x = 398.72

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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.