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Finding the Fourth Proportional to 800.78, 1,104.42 and 565.52

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Solution

The fourth proportional to 800.78, 1,104.42 and 565.52 is: 779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.78 : 1,104.42 = 565.52 : x
  2. Step 2: Convert to fraction form
    800.78/1,104.42 = 565.52/x
  3. Step 3: Cross multiply
    800.78x = 1,104.42 × 565.52
  4. Step 4: Simplify right side
    800.78x = 624,571.60
  5. Step 5: Solve for x
    x = 624,571.60/800.78
  6. Step 6: Final answer
    x = 779.95

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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.