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Finding the Fourth Proportional to 531.40, 796.22 and 511.15

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Solution

The fourth proportional to 531.40, 796.22 and 511.15 is: 765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.40 : 796.22 = 511.15 : x
  2. Step 2: Convert to fraction form
    531.40/796.22 = 511.15/x
  3. Step 3: Cross multiply
    531.40x = 796.22 × 511.15
  4. Step 4: Simplify right side
    531.40x = 406,987.85
  5. Step 5: Solve for x
    x = 406,987.85/531.40
  6. Step 6: Final answer
    x = 765.88

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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.