Home / 1,027.46-1,539.66-539.34

Finding the Fourth Proportional to 1,027.46, 1,539.66 and 539.34

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Solution

The fourth proportional to 1,027.46, 1,539.66 and 539.34 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.46 : 1,539.66 = 539.34 : x
  2. Step 2: Convert to fraction form
    1,027.46/1,539.66 = 539.34/x
  3. Step 3: Cross multiply
    1,027.46x = 1,539.66 × 539.34
  4. Step 4: Simplify right side
    1,027.46x = 830,400.22
  5. Step 5: Solve for x
    x = 830,400.22/1,027.46
  6. Step 6: Final answer
    x = 808.21

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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.