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Finding the Fourth Proportional to 1,211.97, 1,816.48 and 552.94

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Solution

The fourth proportional to 1,211.97, 1,816.48 and 552.94 is: 828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.97 : 1,816.48 = 552.94 : x
  2. Step 2: Convert to fraction form
    1,211.97/1,816.48 = 552.94/x
  3. Step 3: Cross multiply
    1,211.97x = 1,816.48 × 552.94
  4. Step 4: Simplify right side
    1,211.97x = 1,004,404.45
  5. Step 5: Solve for x
    x = 1,004,404.45/1,211.97
  6. Step 6: Final answer
    x = 828.74

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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.