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Finding the Fourth Proportional to 1,201.74, 1,800.21 and 551.58

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Solution

The fourth proportional to 1,201.74, 1,800.21 and 551.58 is: 826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.74 : 1,800.21 = 551.58 : x
  2. Step 2: Convert to fraction form
    1,201.74/1,800.21 = 551.58/x
  3. Step 3: Cross multiply
    1,201.74x = 1,800.21 × 551.58
  4. Step 4: Simplify right side
    1,201.74x = 992,959.83
  5. Step 5: Solve for x
    x = 992,959.83/1,201.74
  6. Step 6: Final answer
    x = 826.27

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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.