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Finding the Fourth Proportional to 2,653.18, 3,979.77 and 804.30

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Solution

The fourth proportional to 2,653.18, 3,979.77 and 804.30 is: 1,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.18 : 3,979.77 = 804.30 : x
  2. Step 2: Convert to fraction form
    2,653.18/3,979.77 = 804.30/x
  3. Step 3: Cross multiply
    2,653.18x = 3,979.77 × 804.30
  4. Step 4: Simplify right side
    2,653.18x = 3,200,917.86
  5. Step 5: Solve for x
    x = 3,200,917.86/2,653.18
  6. Step 6: Final answer
    x = 1,206.45

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Similar ratio
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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.