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Finding the Fourth Proportional to 1,279.60, 1,922.04 and 792.88

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Solution

The fourth proportional to 1,279.60, 1,922.04 and 792.88 is: 1,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.60 : 1,922.04 = 792.88 : x
  2. Step 2: Convert to fraction form
    1,279.60/1,922.04 = 792.88/x
  3. Step 3: Cross multiply
    1,279.60x = 1,922.04 × 792.88
  4. Step 4: Simplify right side
    1,279.60x = 1,523,947.08
  5. Step 5: Solve for x
    x = 1,523,947.08/1,279.60
  6. Step 6: Final answer
    x = 1,190.96

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1.5x scale

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.