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Finding the Fourth Proportional to 1,226.74, 1,840.20 and 533.20

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Solution

The fourth proportional to 1,226.74, 1,840.20 and 533.20 is: 799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.74 : 1,840.20 = 533.20 : x
  2. Step 2: Convert to fraction form
    1,226.74/1,840.20 = 533.20/x
  3. Step 3: Cross multiply
    1,226.74x = 1,840.20 × 533.20
  4. Step 4: Simplify right side
    1,226.74x = 981,194.64
  5. Step 5: Solve for x
    x = 981,194.64/1,226.74
  6. Step 6: Final answer
    x = 799.84

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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.