Home / 1,297.16-1,945.37-431.48

Finding the Fourth Proportional to 1,297.16, 1,945.37 and 431.48

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Solution

The fourth proportional to 1,297.16, 1,945.37 and 431.48 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.16 : 1,945.37 = 431.48 : x
  2. Step 2: Convert to fraction form
    1,297.16/1,945.37 = 431.48/x
  3. Step 3: Cross multiply
    1,297.16x = 1,945.37 × 431.48
  4. Step 4: Simplify right side
    1,297.16x = 839,376.36
  5. Step 5: Solve for x
    x = 839,376.36/1,297.16
  6. Step 6: Final answer
    x = 647.09

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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.