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Finding the Fourth Proportional to 517.68, 713.94 and 399.66

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Solution

The fourth proportional to 517.68, 713.94 and 399.66 is: 551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 713.94 = 399.66 : x
  2. Step 2: Convert to fraction form
    517.68/713.94 = 399.66/x
  3. Step 3: Cross multiply
    517.68x = 713.94 × 399.66
  4. Step 4: Simplify right side
    517.68x = 285,333.26
  5. Step 5: Solve for x
    x = 285,333.26/517.68
  6. Step 6: Final answer
    x = 551.18

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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.