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Finding the Fourth Proportional to 790.50, 1,090.89 and 441.27

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Solution

The fourth proportional to 790.50, 1,090.89 and 441.27 is: 608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.50 : 1,090.89 = 441.27 : x
  2. Step 2: Convert to fraction form
    790.50/1,090.89 = 441.27/x
  3. Step 3: Cross multiply
    790.50x = 1,090.89 × 441.27
  4. Step 4: Simplify right side
    790.50x = 481,377.03
  5. Step 5: Solve for x
    x = 481,377.03/790.50
  6. Step 6: Final answer
    x = 608.95

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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.