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Finding the Fourth Proportional to 1,227.61, 1,840.07 and 533.47

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Solution

The fourth proportional to 1,227.61, 1,840.07 and 533.47 is: 799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.61 : 1,840.07 = 533.47 : x
  2. Step 2: Convert to fraction form
    1,227.61/1,840.07 = 533.47/x
  3. Step 3: Cross multiply
    1,227.61x = 1,840.07 × 533.47
  4. Step 4: Simplify right side
    1,227.61x = 981,619.48
  5. Step 5: Solve for x
    x = 981,619.48/1,227.61
  6. Step 6: Final answer
    x = 799.62

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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.