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Finding the Fourth Proportional to 655.99, 984.39 and 482.23

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Solution

The fourth proportional to 655.99, 984.39 and 482.23 is: 723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.99 : 984.39 = 482.23 : x
  2. Step 2: Convert to fraction form
    655.99/984.39 = 482.23/x
  3. Step 3: Cross multiply
    655.99x = 984.39 × 482.23
  4. Step 4: Simplify right side
    655.99x = 474,702.39
  5. Step 5: Solve for x
    x = 474,702.39/655.99
  6. Step 6: Final answer
    x = 723.64

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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.