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Finding the Fourth Proportional to 1,227.65, 1,840.31 and 533.63

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Solution

The fourth proportional to 1,227.65, 1,840.31 and 533.63 is: 799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.65 : 1,840.31 = 533.63 : x
  2. Step 2: Convert to fraction form
    1,227.65/1,840.31 = 533.63/x
  3. Step 3: Cross multiply
    1,227.65x = 1,840.31 × 533.63
  4. Step 4: Simplify right side
    1,227.65x = 982,044.63
  5. Step 5: Solve for x
    x = 982,044.63/1,227.65
  6. Step 6: Final answer
    x = 799.94

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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.