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Finding the Fourth Proportional to 1,190.64, 1,785.80 and 324.92

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Solution

The fourth proportional to 1,190.64, 1,785.80 and 324.92 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.64 : 1,785.80 = 324.92 : x
  2. Step 2: Convert to fraction form
    1,190.64/1,785.80 = 324.92/x
  3. Step 3: Cross multiply
    1,190.64x = 1,785.80 × 324.92
  4. Step 4: Simplify right side
    1,190.64x = 580,242.14
  5. Step 5: Solve for x
    x = 580,242.14/1,190.64
  6. Step 6: Final answer
    x = 487.34

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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.