Home / 1,022.11-1,410.55-556.36

Finding the Fourth Proportional to 1,022.11, 1,410.55 and 556.36

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Solution

The fourth proportional to 1,022.11, 1,410.55 and 556.36 is: 767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.11 : 1,410.55 = 556.36 : x
  2. Step 2: Convert to fraction form
    1,022.11/1,410.55 = 556.36/x
  3. Step 3: Cross multiply
    1,022.11x = 1,410.55 × 556.36
  4. Step 4: Simplify right side
    1,022.11x = 784,768.68
  5. Step 5: Solve for x
    x = 784,768.68/1,022.11
  6. Step 6: Final answer
    x = 767.79

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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.