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Finding the Fourth Proportional to 1,199.40, 1,800.27 and 853.14

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Solution

The fourth proportional to 1,199.40, 1,800.27 and 853.14 is: 1,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.40 : 1,800.27 = 853.14 : x
  2. Step 2: Convert to fraction form
    1,199.40/1,800.27 = 853.14/x
  3. Step 3: Cross multiply
    1,199.40x = 1,800.27 × 853.14
  4. Step 4: Simplify right side
    1,199.40x = 1,535,882.35
  5. Step 5: Solve for x
    x = 1,535,882.35/1,199.40
  6. Step 6: Final answer
    x = 1,280.54

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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.