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Finding the Fourth Proportional to 1,190.33, 1,785.49 and 324.64

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Solution

The fourth proportional to 1,190.33, 1,785.49 and 324.64 is: 486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.33 : 1,785.49 = 324.64 : x
  2. Step 2: Convert to fraction form
    1,190.33/1,785.49 = 324.64/x
  3. Step 3: Cross multiply
    1,190.33x = 1,785.49 × 324.64
  4. Step 4: Simplify right side
    1,190.33x = 579,642.89
  5. Step 5: Solve for x
    x = 579,642.89/1,190.33
  6. Step 6: Final answer
    x = 486.96

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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.