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Finding the Fourth Proportional to 790.91, 1,091.50 and 441.59

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Solution

The fourth proportional to 790.91, 1,091.50 and 441.59 is: 609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.91 : 1,091.50 = 441.59 : x
  2. Step 2: Convert to fraction form
    790.91/1,091.50 = 441.59/x
  3. Step 3: Cross multiply
    790.91x = 1,091.50 × 441.59
  4. Step 4: Simplify right side
    790.91x = 481,997.11
  5. Step 5: Solve for x
    x = 481,997.11/790.91
  6. Step 6: Final answer
    x = 609.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.