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Finding the Fourth Proportional to 511.40, 762.11 and 496.55

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Solution

The fourth proportional to 511.40, 762.11 and 496.55 is: 739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 762.11 = 496.55 : x
  2. Step 2: Convert to fraction form
    511.40/762.11 = 496.55/x
  3. Step 3: Cross multiply
    511.40x = 762.11 × 496.55
  4. Step 4: Simplify right side
    511.40x = 378,425.72
  5. Step 5: Solve for x
    x = 378,425.72/511.40
  6. Step 6: Final answer
    x = 739.98

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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.