Home / 1,199.92-1,665.85-1,164.28

Finding the Fourth Proportional to 1,199.92, 1,665.85 and 1,164.28

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Solution

The fourth proportional to 1,199.92, 1,665.85 and 1,164.28 is: 1,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.92 : 1,665.85 = 1,164.28 : x
  2. Step 2: Convert to fraction form
    1,199.92/1,665.85 = 1,164.28/x
  3. Step 3: Cross multiply
    1,199.92x = 1,665.85 × 1,164.28
  4. Step 4: Simplify right side
    1,199.92x = 1,939,515.84
  5. Step 5: Solve for x
    x = 1,939,515.84/1,199.92
  6. Step 6: Final answer
    x = 1,616.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.