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Finding the Fourth Proportional to 1,190.73, 1,785.90 and 325.05

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Solution

The fourth proportional to 1,190.73, 1,785.90 and 325.05 is: 487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.73 : 1,785.90 = 325.05 : x
  2. Step 2: Convert to fraction form
    1,190.73/1,785.90 = 325.05/x
  3. Step 3: Cross multiply
    1,190.73x = 1,785.90 × 325.05
  4. Step 4: Simplify right side
    1,190.73x = 580,506.80
  5. Step 5: Solve for x
    x = 580,506.80/1,190.73
  6. Step 6: Final answer
    x = 487.52

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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.