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Finding the Fourth Proportional to 1,202.20, 1,802.68 and 552.38

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Solution

The fourth proportional to 1,202.20, 1,802.68 and 552.38 is: 828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.20 : 1,802.68 = 552.38 : x
  2. Step 2: Convert to fraction form
    1,202.20/1,802.68 = 552.38/x
  3. Step 3: Cross multiply
    1,202.20x = 1,802.68 × 552.38
  4. Step 4: Simplify right side
    1,202.20x = 995,753.98
  5. Step 5: Solve for x
    x = 995,753.98/1,202.20
  6. Step 6: Final answer
    x = 828.28

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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.