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Finding the Fourth Proportional to 936.48, 1,292.45 and 563.48

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Solution

The fourth proportional to 936.48, 1,292.45 and 563.48 is: 777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.48 : 1,292.45 = 563.48 : x
  2. Step 2: Convert to fraction form
    936.48/1,292.45 = 563.48/x
  3. Step 3: Cross multiply
    936.48x = 1,292.45 × 563.48
  4. Step 4: Simplify right side
    936.48x = 728,260.45
  5. Step 5: Solve for x
    x = 728,260.45/936.48
  6. Step 6: Final answer
    x = 777.66

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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.