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Finding the Fourth Proportional to 936.85, 1,293.13 and 563.85

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Solution

The fourth proportional to 936.85, 1,293.13 and 563.85 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.85 : 1,293.13 = 563.85 : x
  2. Step 2: Convert to fraction form
    936.85/1,293.13 = 563.85/x
  3. Step 3: Cross multiply
    936.85x = 1,293.13 × 563.85
  4. Step 4: Simplify right side
    936.85x = 729,131.35
  5. Step 5: Solve for x
    x = 729,131.35/936.85
  6. Step 6: Final answer
    x = 778.28

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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.