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Finding the Fourth Proportional to 1,180.70, 1,772.34 and 687.65

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Solution

The fourth proportional to 1,180.70, 1,772.34 and 687.65 is: 1,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.70 : 1,772.34 = 687.65 : x
  2. Step 2: Convert to fraction form
    1,180.70/1,772.34 = 687.65/x
  3. Step 3: Cross multiply
    1,180.70x = 1,772.34 × 687.65
  4. Step 4: Simplify right side
    1,180.70x = 1,218,745.08
  5. Step 5: Solve for x
    x = 1,218,745.08/1,180.70
  6. Step 6: Final answer
    x = 1,032.22

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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.