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Finding the Fourth Proportional to 539.69, 804.13 and 516.10

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Solution

The fourth proportional to 539.69, 804.13 and 516.10 is: 768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.69 : 804.13 = 516.10 : x
  2. Step 2: Convert to fraction form
    539.69/804.13 = 516.10/x
  3. Step 3: Cross multiply
    539.69x = 804.13 × 516.10
  4. Step 4: Simplify right side
    539.69x = 415,011.49
  5. Step 5: Solve for x
    x = 415,011.49/539.69
  6. Step 6: Final answer
    x = 768.98

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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.