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Finding the Fourth Proportional to 1,003.89, 1,504.68 and 387.27

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Solution

The fourth proportional to 1,003.89, 1,504.68 and 387.27 is: 580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.89 : 1,504.68 = 387.27 : x
  2. Step 2: Convert to fraction form
    1,003.89/1,504.68 = 387.27/x
  3. Step 3: Cross multiply
    1,003.89x = 1,504.68 × 387.27
  4. Step 4: Simplify right side
    1,003.89x = 582,717.42
  5. Step 5: Solve for x
    x = 582,717.42/1,003.89
  6. Step 6: Final answer
    x = 580.46

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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.