Home / 1,025.96-1,538.22-539.36

Finding the Fourth Proportional to 1,025.96, 1,538.22 and 539.36

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Solution

The fourth proportional to 1,025.96, 1,538.22 and 539.36 is: 808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.96 : 1,538.22 = 539.36 : x
  2. Step 2: Convert to fraction form
    1,025.96/1,538.22 = 539.36/x
  3. Step 3: Cross multiply
    1,025.96x = 1,538.22 × 539.36
  4. Step 4: Simplify right side
    1,025.96x = 829,646.65
  5. Step 5: Solve for x
    x = 829,646.65/1,025.96
  6. Step 6: Final answer
    x = 808.66

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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.