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Finding the Fourth Proportional to 655.88, 984.02 and 265.69

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Solution

The fourth proportional to 655.88, 984.02 and 265.69 is: 398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.88 : 984.02 = 265.69 : x
  2. Step 2: Convert to fraction form
    655.88/984.02 = 265.69/x
  3. Step 3: Cross multiply
    655.88x = 984.02 × 265.69
  4. Step 4: Simplify right side
    655.88x = 261,438.03
  5. Step 5: Solve for x
    x = 261,438.03/655.88
  6. Step 6: Final answer
    x = 398.61

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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.