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Finding the Fourth Proportional to 511.63, 765.10 and 381.72

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Solution

The fourth proportional to 511.63, 765.10 and 381.72 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 765.10 = 381.72 : x
  2. Step 2: Convert to fraction form
    511.63/765.10 = 381.72/x
  3. Step 3: Cross multiply
    511.63x = 765.10 × 381.72
  4. Step 4: Simplify right side
    511.63x = 292,052.06
  5. Step 5: Solve for x
    x = 292,052.06/511.63
  6. Step 6: Final answer
    x = 570.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.