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Finding the Fourth Proportional to 1,003.92, 1,385.44 and 605.60

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Solution

The fourth proportional to 1,003.92, 1,385.44 and 605.60 is: 835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.92 : 1,385.44 = 605.60 : x
  2. Step 2: Convert to fraction form
    1,003.92/1,385.44 = 605.60/x
  3. Step 3: Cross multiply
    1,003.92x = 1,385.44 × 605.60
  4. Step 4: Simplify right side
    1,003.92x = 839,022.46
  5. Step 5: Solve for x
    x = 839,022.46/1,003.92
  6. Step 6: Final answer
    x = 835.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.