Home / 1,142.27-1,713.14-320.31

Finding the Fourth Proportional to 1,142.27, 1,713.14 and 320.31

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Solution

The fourth proportional to 1,142.27, 1,713.14 and 320.31 is: 480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.27 : 1,713.14 = 320.31 : x
  2. Step 2: Convert to fraction form
    1,142.27/1,713.14 = 320.31/x
  3. Step 3: Cross multiply
    1,142.27x = 1,713.14 × 320.31
  4. Step 4: Simplify right side
    1,142.27x = 548,734.27
  5. Step 5: Solve for x
    x = 548,734.27/1,142.27
  6. Step 6: Final answer
    x = 480.39

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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.