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Finding the Fourth Proportional to 1,227.11, 1,840.79 and 405.53

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Solution

The fourth proportional to 1,227.11, 1,840.79 and 405.53 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.11 : 1,840.79 = 405.53 : x
  2. Step 2: Convert to fraction form
    1,227.11/1,840.79 = 405.53/x
  3. Step 3: Cross multiply
    1,227.11x = 1,840.79 × 405.53
  4. Step 4: Simplify right side
    1,227.11x = 746,484.34
  5. Step 5: Solve for x
    x = 746,484.34/1,227.11
  6. Step 6: Final answer
    x = 608.33

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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.