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Finding the Fourth Proportional to 655.84, 984.26 and 245.08

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Solution

The fourth proportional to 655.84, 984.26 and 245.08 is: 367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 984.26 = 245.08 : x
  2. Step 2: Convert to fraction form
    655.84/984.26 = 245.08/x
  3. Step 3: Cross multiply
    655.84x = 984.26 × 245.08
  4. Step 4: Simplify right side
    655.84x = 241,222.44
  5. Step 5: Solve for x
    x = 241,222.44/655.84
  6. Step 6: Final answer
    x = 367.81

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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.