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Finding the Fourth Proportional to 716.39, 1,074.59 and 326.31

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Solution

The fourth proportional to 716.39, 1,074.59 and 326.31 is: 489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.39 : 1,074.59 = 326.31 : x
  2. Step 2: Convert to fraction form
    716.39/1,074.59 = 326.31/x
  3. Step 3: Cross multiply
    716.39x = 1,074.59 × 326.31
  4. Step 4: Simplify right side
    716.39x = 350,649.46
  5. Step 5: Solve for x
    x = 350,649.46/716.39
  6. Step 6: Final answer
    x = 489.47

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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.