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Finding the Fourth Proportional to 516.88, 713.64 and 406.80

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Solution

The fourth proportional to 516.88, 713.64 and 406.80 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 713.64 = 406.80 : x
  2. Step 2: Convert to fraction form
    516.88/713.64 = 406.80/x
  3. Step 3: Cross multiply
    516.88x = 713.64 × 406.80
  4. Step 4: Simplify right side
    516.88x = 290,308.75
  5. Step 5: Solve for x
    x = 290,308.75/516.88
  6. Step 6: Final answer
    x = 561.66

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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.