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Finding the Fourth Proportional to 511.73, 764.96 and 380.51

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Solution

The fourth proportional to 511.73, 764.96 and 380.51 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.73 : 764.96 = 380.51 : x
  2. Step 2: Convert to fraction form
    511.73/764.96 = 380.51/x
  3. Step 3: Cross multiply
    511.73x = 764.96 × 380.51
  4. Step 4: Simplify right side
    511.73x = 291,074.93
  5. Step 5: Solve for x
    x = 291,074.93/511.73
  6. Step 6: Final answer
    x = 568.81

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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.