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Finding the Fourth Proportional to 1,200.08, 1,796.72 and 788.32

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Solution

The fourth proportional to 1,200.08, 1,796.72 and 788.32 is: 1,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.08 : 1,796.72 = 788.32 : x
  2. Step 2: Convert to fraction form
    1,200.08/1,796.72 = 788.32/x
  3. Step 3: Cross multiply
    1,200.08x = 1,796.72 × 788.32
  4. Step 4: Simplify right side
    1,200.08x = 1,416,390.31
  5. Step 5: Solve for x
    x = 1,416,390.31/1,200.08
  6. Step 6: Final answer
    x = 1,180.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.