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Finding the Fourth Proportional to 992.08, 1,485.60 and 829.36

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Solution

The fourth proportional to 992.08, 1,485.60 and 829.36 is: 1,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.08 : 1,485.60 = 829.36 : x
  2. Step 2: Convert to fraction form
    992.08/1,485.60 = 829.36/x
  3. Step 3: Cross multiply
    992.08x = 1,485.60 × 829.36
  4. Step 4: Simplify right side
    992.08x = 1,232,097.22
  5. Step 5: Solve for x
    x = 1,232,097.22/992.08
  6. Step 6: Final answer
    x = 1,241.93

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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.