Home / 1,022.09-1,410.44-556.34

Finding the Fourth Proportional to 1,022.09, 1,410.44 and 556.34

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Solution

The fourth proportional to 1,022.09, 1,410.44 and 556.34 is: 767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.09 : 1,410.44 = 556.34 : x
  2. Step 2: Convert to fraction form
    1,022.09/1,410.44 = 556.34/x
  3. Step 3: Cross multiply
    1,022.09x = 1,410.44 × 556.34
  4. Step 4: Simplify right side
    1,022.09x = 784,674.36
  5. Step 5: Solve for x
    x = 784,674.36/1,022.09
  6. Step 6: Final answer
    x = 767.72

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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.