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Finding the Fourth Proportional to 517.76, 776.22 and 209.48

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Solution

The fourth proportional to 517.76, 776.22 and 209.48 is: 314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.76 : 776.22 = 209.48 : x
  2. Step 2: Convert to fraction form
    517.76/776.22 = 209.48/x
  3. Step 3: Cross multiply
    517.76x = 776.22 × 209.48
  4. Step 4: Simplify right side
    517.76x = 162,602.57
  5. Step 5: Solve for x
    x = 162,602.57/517.76
  6. Step 6: Final answer
    x = 314.05

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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.