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Finding the Fourth Proportional to 511.78, 706.14 and 379.20

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Solution

The fourth proportional to 511.78, 706.14 and 379.20 is: 523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.78 : 706.14 = 379.20 : x
  2. Step 2: Convert to fraction form
    511.78/706.14 = 379.20/x
  3. Step 3: Cross multiply
    511.78x = 706.14 × 379.20
  4. Step 4: Simplify right side
    511.78x = 267,768.29
  5. Step 5: Solve for x
    x = 267,768.29/511.78
  6. Step 6: Final answer
    x = 523.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.