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Finding the Fourth Proportional to 936.47, 1,292.28 and 563.33

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Solution

The fourth proportional to 936.47, 1,292.28 and 563.33 is: 777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.47 : 1,292.28 = 563.33 : x
  2. Step 2: Convert to fraction form
    936.47/1,292.28 = 563.33/x
  3. Step 3: Cross multiply
    936.47x = 1,292.28 × 563.33
  4. Step 4: Simplify right side
    936.47x = 727,980.09
  5. Step 5: Solve for x
    x = 727,980.09/936.47
  6. Step 6: Final answer
    x = 777.37

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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.