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Finding the Fourth Proportional to 655.65, 905.33 and 446.27

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Solution

The fourth proportional to 655.65, 905.33 and 446.27 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.65 : 905.33 = 446.27 : x
  2. Step 2: Convert to fraction form
    655.65/905.33 = 446.27/x
  3. Step 3: Cross multiply
    655.65x = 905.33 × 446.27
  4. Step 4: Simplify right side
    655.65x = 404,014.86
  5. Step 5: Solve for x
    x = 404,014.86/655.65
  6. Step 6: Final answer
    x = 616.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.