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Finding the Fourth Proportional to 447.44, 616.20 and 428.72

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Solution

The fourth proportional to 447.44, 616.20 and 428.72 is: 590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.44 : 616.20 = 428.72 : x
  2. Step 2: Convert to fraction form
    447.44/616.20 = 428.72/x
  3. Step 3: Cross multiply
    447.44x = 616.20 × 428.72
  4. Step 4: Simplify right side
    447.44x = 264,177.26
  5. Step 5: Solve for x
    x = 264,177.26/447.44
  6. Step 6: Final answer
    x = 590.42

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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.