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Finding the Fourth Proportional to 518.25, 772.76 and 511.87

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Solution

The fourth proportional to 518.25, 772.76 and 511.87 is: 763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 772.76 = 511.87 : x
  2. Step 2: Convert to fraction form
    518.25/772.76 = 511.87/x
  3. Step 3: Cross multiply
    518.25x = 772.76 × 511.87
  4. Step 4: Simplify right side
    518.25x = 395,552.66
  5. Step 5: Solve for x
    x = 395,552.66/518.25
  6. Step 6: Final answer
    x = 763.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.