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Finding the Fourth Proportional to 789.37, 1,182.83 and 582.98

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Solution

The fourth proportional to 789.37, 1,182.83 and 582.98 is: 873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.37 : 1,182.83 = 582.98 : x
  2. Step 2: Convert to fraction form
    789.37/1,182.83 = 582.98/x
  3. Step 3: Cross multiply
    789.37x = 1,182.83 × 582.98
  4. Step 4: Simplify right side
    789.37x = 689,557.40
  5. Step 5: Solve for x
    x = 689,557.40/789.37
  6. Step 6: Final answer
    x = 873.56

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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.