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Finding the Fourth Proportional to 1,002.81, 1,504.04 and 272.21

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Solution

The fourth proportional to 1,002.81, 1,504.04 and 272.21 is: 408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.81 : 1,504.04 = 272.21 : x
  2. Step 2: Convert to fraction form
    1,002.81/1,504.04 = 272.21/x
  3. Step 3: Cross multiply
    1,002.81x = 1,504.04 × 272.21
  4. Step 4: Simplify right side
    1,002.81x = 409,414.31
  5. Step 5: Solve for x
    x = 409,414.31/1,002.81
  6. Step 6: Final answer
    x = 408.27

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Why These Related Problems?

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