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Finding the Fourth Proportional to 1,269.10, 1,903.65 and 447.37

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Solution

The fourth proportional to 1,269.10, 1,903.65 and 447.37 is: 671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.10 : 1,903.65 = 447.37 : x
  2. Step 2: Convert to fraction form
    1,269.10/1,903.65 = 447.37/x
  3. Step 3: Cross multiply
    1,269.10x = 1,903.65 × 447.37
  4. Step 4: Simplify right side
    1,269.10x = 851,626.38
  5. Step 5: Solve for x
    x = 851,626.38/1,269.10
  6. Step 6: Final answer
    x = 671.05

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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.