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Finding the Fourth Proportional to 1,189.64, 1,785.36 and 459.38

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Solution

The fourth proportional to 1,189.64, 1,785.36 and 459.38 is: 689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.64 : 1,785.36 = 459.38 : x
  2. Step 2: Convert to fraction form
    1,189.64/1,785.36 = 459.38/x
  3. Step 3: Cross multiply
    1,189.64x = 1,785.36 × 459.38
  4. Step 4: Simplify right side
    1,189.64x = 820,158.68
  5. Step 5: Solve for x
    x = 820,158.68/1,189.64
  6. Step 6: Final answer
    x = 689.42

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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.