Home / 1,027.67-1,542.87-480.23

Finding the Fourth Proportional to 1,027.67, 1,542.87 and 480.23

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Solution

The fourth proportional to 1,027.67, 1,542.87 and 480.23 is: 720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.67 : 1,542.87 = 480.23 : x
  2. Step 2: Convert to fraction form
    1,027.67/1,542.87 = 480.23/x
  3. Step 3: Cross multiply
    1,027.67x = 1,542.87 × 480.23
  4. Step 4: Simplify right side
    1,027.67x = 740,932.46
  5. Step 5: Solve for x
    x = 740,932.46/1,027.67
  6. Step 6: Final answer
    x = 720.98

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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.