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Finding the Fourth Proportional to 518.09, 777.14 and 355.28

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Solution

The fourth proportional to 518.09, 777.14 and 355.28 is: 532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.09 : 777.14 = 355.28 : x
  2. Step 2: Convert to fraction form
    518.09/777.14 = 355.28/x
  3. Step 3: Cross multiply
    518.09x = 777.14 × 355.28
  4. Step 4: Simplify right side
    518.09x = 276,100.52
  5. Step 5: Solve for x
    x = 276,100.52/518.09
  6. Step 6: Final answer
    x = 532.92

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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.