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Finding the Fourth Proportional to 535.97, 797.65 and 516.53

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Solution

The fourth proportional to 535.97, 797.65 and 516.53 is: 768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.97 : 797.65 = 516.53 : x
  2. Step 2: Convert to fraction form
    535.97/797.65 = 516.53/x
  3. Step 3: Cross multiply
    535.97x = 797.65 × 516.53
  4. Step 4: Simplify right side
    535.97x = 412,010.86
  5. Step 5: Solve for x
    x = 412,010.86/535.97
  6. Step 6: Final answer
    x = 768.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.