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Finding the Fourth Proportional to 764.95, 1,147.57 and 326.19

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Solution

The fourth proportional to 764.95, 1,147.57 and 326.19 is: 489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.95 : 1,147.57 = 326.19 : x
  2. Step 2: Convert to fraction form
    764.95/1,147.57 = 326.19/x
  3. Step 3: Cross multiply
    764.95x = 1,147.57 × 326.19
  4. Step 4: Simplify right side
    764.95x = 374,328.73
  5. Step 5: Solve for x
    x = 374,328.73/764.95
  6. Step 6: Final answer
    x = 489.35

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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.