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Finding the Fourth Proportional to 936.64, 1,292.25 and 563.48

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Solution

The fourth proportional to 936.64, 1,292.25 and 563.48 is: 777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.64 : 1,292.25 = 563.48 : x
  2. Step 2: Convert to fraction form
    936.64/1,292.25 = 563.48/x
  3. Step 3: Cross multiply
    936.64x = 1,292.25 × 563.48
  4. Step 4: Simplify right side
    936.64x = 728,161.16
  5. Step 5: Solve for x
    x = 728,161.16/936.64
  6. Step 6: Final answer
    x = 777.42

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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.