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Finding the Fourth Proportional to 517.66, 713.99 and 351.57

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Solution

The fourth proportional to 517.66, 713.99 and 351.57 is: 484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 713.99 = 351.57 : x
  2. Step 2: Convert to fraction form
    517.66/713.99 = 351.57/x
  3. Step 3: Cross multiply
    517.66x = 713.99 × 351.57
  4. Step 4: Simplify right side
    517.66x = 251,021.02
  5. Step 5: Solve for x
    x = 251,021.02/517.66
  6. Step 6: Final answer
    x = 484.92

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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.