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Finding the Fourth Proportional to 1,297.73, 1,945.96 and 431.75

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Solution

The fourth proportional to 1,297.73, 1,945.96 and 431.75 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.73 : 1,945.96 = 431.75 : x
  2. Step 2: Convert to fraction form
    1,297.73/1,945.96 = 431.75/x
  3. Step 3: Cross multiply
    1,297.73x = 1,945.96 × 431.75
  4. Step 4: Simplify right side
    1,297.73x = 840,168.23
  5. Step 5: Solve for x
    x = 840,168.23/1,297.73
  6. Step 6: Final answer
    x = 647.41

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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.