Home / 1,156.94-1,734.46-540.34

Finding the Fourth Proportional to 1,156.94, 1,734.46 and 540.34

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Solution

The fourth proportional to 1,156.94, 1,734.46 and 540.34 is: 810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.94 : 1,734.46 = 540.34 : x
  2. Step 2: Convert to fraction form
    1,156.94/1,734.46 = 540.34/x
  3. Step 3: Cross multiply
    1,156.94x = 1,734.46 × 540.34
  4. Step 4: Simplify right side
    1,156.94x = 937,198.12
  5. Step 5: Solve for x
    x = 937,198.12/1,156.94
  6. Step 6: Final answer
    x = 810.07

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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.