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Finding the Fourth Proportional to 655.76, 983.16 and 326.78

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Solution

The fourth proportional to 655.76, 983.16 and 326.78 is: 489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.76 : 983.16 = 326.78 : x
  2. Step 2: Convert to fraction form
    655.76/983.16 = 326.78/x
  3. Step 3: Cross multiply
    655.76x = 983.16 × 326.78
  4. Step 4: Simplify right side
    655.76x = 321,277.02
  5. Step 5: Solve for x
    x = 321,277.02/655.76
  6. Step 6: Final answer
    x = 489.93

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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.