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Finding the Fourth Proportional to 844.12, 1,257.53 and 804.97

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Solution

The fourth proportional to 844.12, 1,257.53 and 804.97 is: 1,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.12 : 1,257.53 = 804.97 : x
  2. Step 2: Convert to fraction form
    844.12/1,257.53 = 804.97/x
  3. Step 3: Cross multiply
    844.12x = 1,257.53 × 804.97
  4. Step 4: Simplify right side
    844.12x = 1,012,273.92
  5. Step 5: Solve for x
    x = 1,012,273.92/844.12
  6. Step 6: Final answer
    x = 1,199.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.