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Finding the Fourth Proportional to 1,183.75, 1,775.08 and 403.54

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Solution

The fourth proportional to 1,183.75, 1,775.08 and 403.54 is: 605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.75 : 1,775.08 = 403.54 : x
  2. Step 2: Convert to fraction form
    1,183.75/1,775.08 = 403.54/x
  3. Step 3: Cross multiply
    1,183.75x = 1,775.08 × 403.54
  4. Step 4: Simplify right side
    1,183.75x = 716,313.77
  5. Step 5: Solve for x
    x = 716,313.77/1,183.75
  6. Step 6: Final answer
    x = 605.12

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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.