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Finding the Fourth Proportional to 1,190.45, 1,785.69 and 324.75

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Solution

The fourth proportional to 1,190.45, 1,785.69 and 324.75 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.45 : 1,785.69 = 324.75 : x
  2. Step 2: Convert to fraction form
    1,190.45/1,785.69 = 324.75/x
  3. Step 3: Cross multiply
    1,190.45x = 1,785.69 × 324.75
  4. Step 4: Simplify right side
    1,190.45x = 579,902.83
  5. Step 5: Solve for x
    x = 579,902.83/1,190.45
  6. Step 6: Final answer
    x = 487.13

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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.