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Finding the Fourth Proportional to 1,199.12, 1,798.88 and 736.60

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Solution

The fourth proportional to 1,199.12, 1,798.88 and 736.60 is: 1,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.12 : 1,798.88 = 736.60 : x
  2. Step 2: Convert to fraction form
    1,199.12/1,798.88 = 736.60/x
  3. Step 3: Cross multiply
    1,199.12x = 1,798.88 × 736.60
  4. Step 4: Simplify right side
    1,199.12x = 1,325,055.01
  5. Step 5: Solve for x
    x = 1,325,055.01/1,199.12
  6. Step 6: Final answer
    x = 1,105.02

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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.