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Finding the Fourth Proportional to 517.68, 776.39 and 209.44

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Solution

The fourth proportional to 517.68, 776.39 and 209.44 is: 314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 776.39 = 209.44 : x
  2. Step 2: Convert to fraction form
    517.68/776.39 = 209.44/x
  3. Step 3: Cross multiply
    517.68x = 776.39 × 209.44
  4. Step 4: Simplify right side
    517.68x = 162,607.12
  5. Step 5: Solve for x
    x = 162,607.12/517.68
  6. Step 6: Final answer
    x = 314.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.