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Finding the Fourth Proportional to 1,109.20, 1,663.82 and 459.94

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Solution

The fourth proportional to 1,109.20, 1,663.82 and 459.94 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.20 : 1,663.82 = 459.94 : x
  2. Step 2: Convert to fraction form
    1,109.20/1,663.82 = 459.94/x
  3. Step 3: Cross multiply
    1,109.20x = 1,663.82 × 459.94
  4. Step 4: Simplify right side
    1,109.20x = 765,257.37
  5. Step 5: Solve for x
    x = 765,257.37/1,109.20
  6. Step 6: Final answer
    x = 689.92

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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.