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Finding the Fourth Proportional to 511.37, 764.40 and 380.15

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Solution

The fourth proportional to 511.37, 764.40 and 380.15 is: 568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.37 : 764.40 = 380.15 : x
  2. Step 2: Convert to fraction form
    511.37/764.40 = 380.15/x
  3. Step 3: Cross multiply
    511.37x = 764.40 × 380.15
  4. Step 4: Simplify right side
    511.37x = 290,580.94
  5. Step 5: Solve for x
    x = 290,580.94/511.37
  6. Step 6: Final answer
    x = 568.25

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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.