Home / 1,089.12-1,632.54-540.96

Finding the Fourth Proportional to 1,089.12, 1,632.54 and 540.96

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Solution

The fourth proportional to 1,089.12, 1,632.54 and 540.96 is: 810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.12 : 1,632.54 = 540.96 : x
  2. Step 2: Convert to fraction form
    1,089.12/1,632.54 = 540.96/x
  3. Step 3: Cross multiply
    1,089.12x = 1,632.54 × 540.96
  4. Step 4: Simplify right side
    1,089.12x = 883,138.84
  5. Step 5: Solve for x
    x = 883,138.84/1,089.12
  6. Step 6: Final answer
    x = 810.87

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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.