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Finding the Fourth Proportional to 789, 1,183.78 and 572.20

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Solution

The fourth proportional to 789, 1,183.78 and 572.20 is: 858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789 : 1,183.78 = 572.20 : x
  2. Step 2: Convert to fraction form
    789/1,183.78 = 572.20/x
  3. Step 3: Cross multiply
    789x = 1,183.78 × 572.20
  4. Step 4: Simplify right side
    789x = 677,358.92
  5. Step 5: Solve for x
    x = 677,358.92/789
  6. Step 6: Final answer
    x = 858.50

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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.