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Finding the Fourth Proportional to 518.51, 776.43 and 274.49

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Solution

The fourth proportional to 518.51, 776.43 and 274.49 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.51 : 776.43 = 274.49 : x
  2. Step 2: Convert to fraction form
    518.51/776.43 = 274.49/x
  3. Step 3: Cross multiply
    518.51x = 776.43 × 274.49
  4. Step 4: Simplify right side
    518.51x = 213,118.39
  5. Step 5: Solve for x
    x = 213,118.39/518.51
  6. Step 6: Final answer
    x = 411.02

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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.