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Finding the Fourth Proportional to 1,199.61, 1,800.23 and 550.40

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Solution

The fourth proportional to 1,199.61, 1,800.23 and 550.40 is: 825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.61 : 1,800.23 = 550.40 : x
  2. Step 2: Convert to fraction form
    1,199.61/1,800.23 = 550.40/x
  3. Step 3: Cross multiply
    1,199.61x = 1,800.23 × 550.40
  4. Step 4: Simplify right side
    1,199.61x = 990,834.84
  5. Step 5: Solve for x
    x = 990,834.84/1,199.61
  6. Step 6: Final answer
    x = 825.96

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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.