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Finding the Fourth Proportional to 789.92, 1,184.16 and 584.24

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Solution

The fourth proportional to 789.92, 1,184.16 and 584.24 is: 875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.92 : 1,184.16 = 584.24 : x
  2. Step 2: Convert to fraction form
    789.92/1,184.16 = 584.24/x
  3. Step 3: Cross multiply
    789.92x = 1,184.16 × 584.24
  4. Step 4: Simplify right side
    789.92x = 691,833.64
  5. Step 5: Solve for x
    x = 691,833.64/789.92
  6. Step 6: Final answer
    x = 875.83

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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.