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Finding the Fourth Proportional to 518.25, 776.99 and 209.87

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Solution

The fourth proportional to 518.25, 776.99 and 209.87 is: 314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 776.99 = 209.87 : x
  2. Step 2: Convert to fraction form
    518.25/776.99 = 209.87/x
  3. Step 3: Cross multiply
    518.25x = 776.99 × 209.87
  4. Step 4: Simplify right side
    518.25x = 163,061.96
  5. Step 5: Solve for x
    x = 163,061.96/518.25
  6. Step 6: Final answer
    x = 314.64

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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.