Home / 1,297.14-1,945.98-431.43

Finding the Fourth Proportional to 1,297.14, 1,945.98 and 431.43

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Solution

The fourth proportional to 1,297.14, 1,945.98 and 431.43 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.14 : 1,945.98 = 431.43 : x
  2. Step 2: Convert to fraction form
    1,297.14/1,945.98 = 431.43/x
  3. Step 3: Cross multiply
    1,297.14x = 1,945.98 × 431.43
  4. Step 4: Simplify right side
    1,297.14x = 839,554.15
  5. Step 5: Solve for x
    x = 839,554.15/1,297.14
  6. Step 6: Final answer
    x = 647.23

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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.