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Finding the Fourth Proportional to 1,279.27, 1,918.77 and 792.19

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Solution

The fourth proportional to 1,279.27, 1,918.77 and 792.19 is: 1,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.27 : 1,918.77 = 792.19 : x
  2. Step 2: Convert to fraction form
    1,279.27/1,918.77 = 792.19/x
  3. Step 3: Cross multiply
    1,279.27x = 1,918.77 × 792.19
  4. Step 4: Simplify right side
    1,279.27x = 1,520,030.41
  5. Step 5: Solve for x
    x = 1,520,030.41/1,279.27
  6. Step 6: Final answer
    x = 1,188.20

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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.