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Finding the Fourth Proportional to 518.73, 773.66 and 472.26

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Solution

The fourth proportional to 518.73, 773.66 and 472.26 is: 704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.73 : 773.66 = 472.26 : x
  2. Step 2: Convert to fraction form
    518.73/773.66 = 472.26/x
  3. Step 3: Cross multiply
    518.73x = 773.66 × 472.26
  4. Step 4: Simplify right side
    518.73x = 365,366.31
  5. Step 5: Solve for x
    x = 365,366.31/518.73
  6. Step 6: Final answer
    x = 704.35

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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.