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Finding the Fourth Proportional to 1,362.26, 2,043.50 and 437.94

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Solution

The fourth proportional to 1,362.26, 2,043.50 and 437.94 is: 656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.26 : 2,043.50 = 437.94 : x
  2. Step 2: Convert to fraction form
    1,362.26/2,043.50 = 437.94/x
  3. Step 3: Cross multiply
    1,362.26x = 2,043.50 × 437.94
  4. Step 4: Simplify right side
    1,362.26x = 894,930.39
  5. Step 5: Solve for x
    x = 894,930.39/1,362.26
  6. Step 6: Final answer
    x = 656.95

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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.