Home / 1,027.27-1,539.52-540.66

Finding the Fourth Proportional to 1,027.27, 1,539.52 and 540.66

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Solution

The fourth proportional to 1,027.27, 1,539.52 and 540.66 is: 810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.27 : 1,539.52 = 540.66 : x
  2. Step 2: Convert to fraction form
    1,027.27/1,539.52 = 540.66/x
  3. Step 3: Cross multiply
    1,027.27x = 1,539.52 × 540.66
  4. Step 4: Simplify right side
    1,027.27x = 832,356.88
  5. Step 5: Solve for x
    x = 832,356.88/1,027.27
  6. Step 6: Final answer
    x = 810.26

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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.