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Finding the Fourth Proportional to 655.94, 982.91 and 395.65

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Solution

The fourth proportional to 655.94, 982.91 and 395.65 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.94 : 982.91 = 395.65 : x
  2. Step 2: Convert to fraction form
    655.94/982.91 = 395.65/x
  3. Step 3: Cross multiply
    655.94x = 982.91 × 395.65
  4. Step 4: Simplify right side
    655.94x = 388,887.37
  5. Step 5: Solve for x
    x = 388,887.37/655.94
  6. Step 6: Final answer
    x = 592.87

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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.