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Finding the Fourth Proportional to 715.89, 1,074.03 and 326.22

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Solution

The fourth proportional to 715.89, 1,074.03 and 326.22 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.89 : 1,074.03 = 326.22 : x
  2. Step 2: Convert to fraction form
    715.89/1,074.03 = 326.22/x
  3. Step 3: Cross multiply
    715.89x = 1,074.03 × 326.22
  4. Step 4: Simplify right side
    715.89x = 350,370.07
  5. Step 5: Solve for x
    x = 350,370.07/715.89
  6. Step 6: Final answer
    x = 489.42

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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.