Home / 1,410.36-1,945.26-820.68

Finding the Fourth Proportional to 1,410.36, 1,945.26 and 820.68

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Solution

The fourth proportional to 1,410.36, 1,945.26 and 820.68 is: 1,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.36 : 1,945.26 = 820.68 : x
  2. Step 2: Convert to fraction form
    1,410.36/1,945.26 = 820.68/x
  3. Step 3: Cross multiply
    1,410.36x = 1,945.26 × 820.68
  4. Step 4: Simplify right side
    1,410.36x = 1,596,435.98
  5. Step 5: Solve for x
    x = 1,596,435.98/1,410.36
  6. Step 6: Final answer
    x = 1,131.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.