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Finding the Fourth Proportional to 517.86, 713.09 and 447.79

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Solution

The fourth proportional to 517.86, 713.09 and 447.79 is: 616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.86 : 713.09 = 447.79 : x
  2. Step 2: Convert to fraction form
    517.86/713.09 = 447.79/x
  3. Step 3: Cross multiply
    517.86x = 713.09 × 447.79
  4. Step 4: Simplify right side
    517.86x = 319,314.57
  5. Step 5: Solve for x
    x = 319,314.57/517.86
  6. Step 6: Final answer
    x = 616.60

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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.