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Finding the Fourth Proportional to 1,295.73, 1,942.97 and 429.75

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Solution

The fourth proportional to 1,295.73, 1,942.97 and 429.75 is: 644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.73 : 1,942.97 = 429.75 : x
  2. Step 2: Convert to fraction form
    1,295.73/1,942.97 = 429.75/x
  3. Step 3: Cross multiply
    1,295.73x = 1,942.97 × 429.75
  4. Step 4: Simplify right side
    1,295.73x = 834,989.21
  5. Step 5: Solve for x
    x = 834,989.21/1,295.73
  6. Step 6: Final answer
    x = 644.42

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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.