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Finding the Fourth Proportional to 1,279.34, 1,765.78 and 813.50

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Solution

The fourth proportional to 1,279.34, 1,765.78 and 813.50 is: 1,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.34 : 1,765.78 = 813.50 : x
  2. Step 2: Convert to fraction form
    1,279.34/1,765.78 = 813.50/x
  3. Step 3: Cross multiply
    1,279.34x = 1,765.78 × 813.50
  4. Step 4: Simplify right side
    1,279.34x = 1,436,462.03
  5. Step 5: Solve for x
    x = 1,436,462.03/1,279.34
  6. Step 6: Final answer
    x = 1,122.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.