Home / 1,055.26-1,583.16-324.84

Finding the Fourth Proportional to 1,055.26, 1,583.16 and 324.84

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Solution

The fourth proportional to 1,055.26, 1,583.16 and 324.84 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.26 : 1,583.16 = 324.84 : x
  2. Step 2: Convert to fraction form
    1,055.26/1,583.16 = 324.84/x
  3. Step 3: Cross multiply
    1,055.26x = 1,583.16 × 324.84
  4. Step 4: Simplify right side
    1,055.26x = 514,273.69
  5. Step 5: Solve for x
    x = 514,273.69/1,055.26
  6. Step 6: Final answer
    x = 487.34

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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.