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Finding the Fourth Proportional to 903.08, 1,245.30 and 804.80

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Solution

The fourth proportional to 903.08, 1,245.30 and 804.80 is: 1,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.08 : 1,245.30 = 804.80 : x
  2. Step 2: Convert to fraction form
    903.08/1,245.30 = 804.80/x
  3. Step 3: Cross multiply
    903.08x = 1,245.30 × 804.80
  4. Step 4: Simplify right side
    903.08x = 1,002,217.44
  5. Step 5: Solve for x
    x = 1,002,217.44/903.08
  6. Step 6: Final answer
    x = 1,109.78

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Why These Related Problems?

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