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Finding the Fourth Proportional to 839.44, 1,259.12 and 254.42

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Solution

The fourth proportional to 839.44, 1,259.12 and 254.42 is: 381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.44 : 1,259.12 = 254.42 : x
  2. Step 2: Convert to fraction form
    839.44/1,259.12 = 254.42/x
  3. Step 3: Cross multiply
    839.44x = 1,259.12 × 254.42
  4. Step 4: Simplify right side
    839.44x = 320,339.65
  5. Step 5: Solve for x
    x = 320,339.65/839.44
  6. Step 6: Final answer
    x = 381.61

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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.