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Finding the Fourth Proportional to 628.11, 865.83 and 517.39

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Solution

The fourth proportional to 628.11, 865.83 and 517.39 is: 713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.11 : 865.83 = 517.39 : x
  2. Step 2: Convert to fraction form
    628.11/865.83 = 517.39/x
  3. Step 3: Cross multiply
    628.11x = 865.83 × 517.39
  4. Step 4: Simplify right side
    628.11x = 447,971.78
  5. Step 5: Solve for x
    x = 447,971.78/628.11
  6. Step 6: Final answer
    x = 713.21

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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.