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Finding the Fourth Proportional to 679.38, 1,018.96 and 268.22

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Solution

The fourth proportional to 679.38, 1,018.96 and 268.22 is: 402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.38 : 1,018.96 = 268.22 : x
  2. Step 2: Convert to fraction form
    679.38/1,018.96 = 268.22/x
  3. Step 3: Cross multiply
    679.38x = 1,018.96 × 268.22
  4. Step 4: Simplify right side
    679.38x = 273,305.45
  5. Step 5: Solve for x
    x = 273,305.45/679.38
  6. Step 6: Final answer
    x = 402.29

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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.