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Finding the Fourth Proportional to 1,762.75, 2,644.13 and 789.13

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Solution

The fourth proportional to 1,762.75, 2,644.13 and 789.13 is: 1,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.75 : 2,644.13 = 789.13 : x
  2. Step 2: Convert to fraction form
    1,762.75/2,644.13 = 789.13/x
  3. Step 3: Cross multiply
    1,762.75x = 2,644.13 × 789.13
  4. Step 4: Simplify right side
    1,762.75x = 2,086,562.31
  5. Step 5: Solve for x
    x = 2,086,562.31/1,762.75
  6. Step 6: Final answer
    x = 1,183.70

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Similar ratio
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1.5x scale

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.