Home / 1,022.03-1,410.41-556.28

Finding the Fourth Proportional to 1,022.03, 1,410.41 and 556.28

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Solution

The fourth proportional to 1,022.03, 1,410.41 and 556.28 is: 767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.03 : 1,410.41 = 556.28 : x
  2. Step 2: Convert to fraction form
    1,022.03/1,410.41 = 556.28/x
  3. Step 3: Cross multiply
    1,022.03x = 1,410.41 × 556.28
  4. Step 4: Simplify right side
    1,022.03x = 784,580.09
  5. Step 5: Solve for x
    x = 784,580.09/1,022.03
  6. Step 6: Final answer
    x = 767.67

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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.