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Finding the Fourth Proportional to 1,369.55, 2,054.65 and 445.11

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Solution

The fourth proportional to 1,369.55, 2,054.65 and 445.11 is: 667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.55 : 2,054.65 = 445.11 : x
  2. Step 2: Convert to fraction form
    1,369.55/2,054.65 = 445.11/x
  3. Step 3: Cross multiply
    1,369.55x = 2,054.65 × 445.11
  4. Step 4: Simplify right side
    1,369.55x = 914,546.37
  5. Step 5: Solve for x
    x = 914,546.37/1,369.55
  6. Step 6: Final answer
    x = 667.77

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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.