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Finding the Fourth Proportional to 584.58, 878.09 and 447.15

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Solution

The fourth proportional to 584.58, 878.09 and 447.15 is: 671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 878.09 = 447.15 : x
  2. Step 2: Convert to fraction form
    584.58/878.09 = 447.15/x
  3. Step 3: Cross multiply
    584.58x = 878.09 × 447.15
  4. Step 4: Simplify right side
    584.58x = 392,635.71
  5. Step 5: Solve for x
    x = 392,635.71/584.58
  6. Step 6: Final answer
    x = 671.65

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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.