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Finding the Fourth Proportional to 678.99, 936.83 and 442.86

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Solution

The fourth proportional to 678.99, 936.83 and 442.86 is: 611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.99 : 936.83 = 442.86 : x
  2. Step 2: Convert to fraction form
    678.99/936.83 = 442.86/x
  3. Step 3: Cross multiply
    678.99x = 936.83 × 442.86
  4. Step 4: Simplify right side
    678.99x = 414,879.85
  5. Step 5: Solve for x
    x = 414,879.85/678.99
  6. Step 6: Final answer
    x = 611.03

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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.