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Finding the Fourth Proportional to 679.38, 1,019.83 and 634.77

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Solution

The fourth proportional to 679.38, 1,019.83 and 634.77 is: 952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.38 : 1,019.83 = 634.77 : x
  2. Step 2: Convert to fraction form
    679.38/1,019.83 = 634.77/x
  3. Step 3: Cross multiply
    679.38x = 1,019.83 × 634.77
  4. Step 4: Simplify right side
    679.38x = 647,357.49
  5. Step 5: Solve for x
    x = 647,357.49/679.38
  6. Step 6: Final answer
    x = 952.87

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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.