Home / 1,297.11-1,945.66-420.34

Finding the Fourth Proportional to 1,297.11, 1,945.66 and 420.34

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Solution

The fourth proportional to 1,297.11, 1,945.66 and 420.34 is: 630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.11 : 1,945.66 = 420.34 : x
  2. Step 2: Convert to fraction form
    1,297.11/1,945.66 = 420.34/x
  3. Step 3: Cross multiply
    1,297.11x = 1,945.66 × 420.34
  4. Step 4: Simplify right side
    1,297.11x = 817,844.14
  5. Step 5: Solve for x
    x = 817,844.14/1,297.11
  6. Step 6: Final answer
    x = 630.51

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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.