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Finding the Fourth Proportional to 798.27, 1,100.42 and 561.44

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Solution

The fourth proportional to 798.27, 1,100.42 and 561.44 is: 773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.27 : 1,100.42 = 561.44 : x
  2. Step 2: Convert to fraction form
    798.27/1,100.42 = 561.44/x
  3. Step 3: Cross multiply
    798.27x = 1,100.42 × 561.44
  4. Step 4: Simplify right side
    798.27x = 617,821.85
  5. Step 5: Solve for x
    x = 617,821.85/798.27
  6. Step 6: Final answer
    x = 773.95

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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.