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Finding the Fourth Proportional to 512.37, 765.89 and 381.15

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Solution

The fourth proportional to 512.37, 765.89 and 381.15 is: 569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 765.89 = 381.15 : x
  2. Step 2: Convert to fraction form
    512.37/765.89 = 381.15/x
  3. Step 3: Cross multiply
    512.37x = 765.89 × 381.15
  4. Step 4: Simplify right side
    512.37x = 291,917.07
  5. Step 5: Solve for x
    x = 291,917.07/512.37
  6. Step 6: Final answer
    x = 569.74

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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.