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Finding the Fourth Proportional to 584.96, 879.56 and 447.05

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Solution

The fourth proportional to 584.96, 879.56 and 447.05 is: 672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.96 : 879.56 = 447.05 : x
  2. Step 2: Convert to fraction form
    584.96/879.56 = 447.05/x
  3. Step 3: Cross multiply
    584.96x = 879.56 × 447.05
  4. Step 4: Simplify right side
    584.96x = 393,208.94
  5. Step 5: Solve for x
    x = 393,208.94/584.96
  6. Step 6: Final answer
    x = 672.20

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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.