Home / 1,022.06-1,410.45-556.31

Finding the Fourth Proportional to 1,022.06, 1,410.45 and 556.31

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Solution

The fourth proportional to 1,022.06, 1,410.45 and 556.31 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.06 : 1,410.45 = 556.31 : x
  2. Step 2: Convert to fraction form
    1,022.06/1,410.45 = 556.31/x
  3. Step 3: Cross multiply
    1,022.06x = 1,410.45 × 556.31
  4. Step 4: Simplify right side
    1,022.06x = 784,648.88
  5. Step 5: Solve for x
    x = 784,648.88/1,022.06
  6. Step 6: Final answer
    x = 767.71

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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.