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Finding the Fourth Proportional to 1,802.73, 2,704.11 and 504.21

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Solution

The fourth proportional to 1,802.73, 2,704.11 and 504.21 is: 756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.73 : 2,704.11 = 504.21 : x
  2. Step 2: Convert to fraction form
    1,802.73/2,704.11 = 504.21/x
  3. Step 3: Cross multiply
    1,802.73x = 2,704.11 × 504.21
  4. Step 4: Simplify right side
    1,802.73x = 1,363,439.30
  5. Step 5: Solve for x
    x = 1,363,439.30/1,802.73
  6. Step 6: Final answer
    x = 756.32

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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.