Home / 1,022.08-1,410.66-959.56

Finding the Fourth Proportional to 1,022.08, 1,410.66 and 959.56

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Solution

The fourth proportional to 1,022.08, 1,410.66 and 959.56 is: 1,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.08 : 1,410.66 = 959.56 : x
  2. Step 2: Convert to fraction form
    1,022.08/1,410.66 = 959.56/x
  3. Step 3: Cross multiply
    1,022.08x = 1,410.66 × 959.56
  4. Step 4: Simplify right side
    1,022.08x = 1,353,612.91
  5. Step 5: Solve for x
    x = 1,353,612.91/1,022.08
  6. Step 6: Final answer
    x = 1,324.37

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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.