Home / 1,180.14-1,769.63-358.22

Finding the Fourth Proportional to 1,180.14, 1,769.63 and 358.22

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Solution

The fourth proportional to 1,180.14, 1,769.63 and 358.22 is: 537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.14 : 1,769.63 = 358.22 : x
  2. Step 2: Convert to fraction form
    1,180.14/1,769.63 = 358.22/x
  3. Step 3: Cross multiply
    1,180.14x = 1,769.63 × 358.22
  4. Step 4: Simplify right side
    1,180.14x = 633,906.22
  5. Step 5: Solve for x
    x = 633,906.22/1,180.14
  6. Step 6: Final answer
    x = 537.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.