Home / 1,160.20-1,589.57-1,144

Finding the Fourth Proportional to 1,160.20, 1,589.57 and 1,144

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Solution

The fourth proportional to 1,160.20, 1,589.57 and 1,144 is: 1,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.20 : 1,589.57 = 1,144 : x
  2. Step 2: Convert to fraction form
    1,160.20/1,589.57 = 1,144/x
  3. Step 3: Cross multiply
    1,160.20x = 1,589.57 × 1,144
  4. Step 4: Simplify right side
    1,160.20x = 1,818,468.08
  5. Step 5: Solve for x
    x = 1,818,468.08/1,160.20
  6. Step 6: Final answer
    x = 1,567.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.