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Finding the Fourth Proportional to 511.10, 704.40 and 379.88

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Solution

The fourth proportional to 511.10, 704.40 and 379.88 is: 523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 704.40 = 379.88 : x
  2. Step 2: Convert to fraction form
    511.10/704.40 = 379.88/x
  3. Step 3: Cross multiply
    511.10x = 704.40 × 379.88
  4. Step 4: Simplify right side
    511.10x = 267,587.47
  5. Step 5: Solve for x
    x = 267,587.47/511.10
  6. Step 6: Final answer
    x = 523.55

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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.