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Finding the Fourth Proportional to 518.73, 777.93 and 275.12

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Solution

The fourth proportional to 518.73, 777.93 and 275.12 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.73 : 777.93 = 275.12 : x
  2. Step 2: Convert to fraction form
    518.73/777.93 = 275.12/x
  3. Step 3: Cross multiply
    518.73x = 777.93 × 275.12
  4. Step 4: Simplify right side
    518.73x = 214,020.21
  5. Step 5: Solve for x
    x = 214,020.21/518.73
  6. Step 6: Final answer
    x = 412.58

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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.