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Finding the Fourth Proportional to 1,201.83, 1,802.47 and 551.94

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Solution

The fourth proportional to 1,201.83, 1,802.47 and 551.94 is: 827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.83 : 1,802.47 = 551.94 : x
  2. Step 2: Convert to fraction form
    1,201.83/1,802.47 = 551.94/x
  3. Step 3: Cross multiply
    1,201.83x = 1,802.47 × 551.94
  4. Step 4: Simplify right side
    1,201.83x = 994,843.52
  5. Step 5: Solve for x
    x = 994,843.52/1,201.83
  6. Step 6: Final answer
    x = 827.78

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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.