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Finding the Fourth Proportional to 613.82, 919.64 and 511.76

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Solution

The fourth proportional to 613.82, 919.64 and 511.76 is: 766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.82 : 919.64 = 511.76 : x
  2. Step 2: Convert to fraction form
    613.82/919.64 = 511.76/x
  3. Step 3: Cross multiply
    613.82x = 919.64 × 511.76
  4. Step 4: Simplify right side
    613.82x = 470,634.97
  5. Step 5: Solve for x
    x = 470,634.97/613.82
  6. Step 6: Final answer
    x = 766.73

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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.