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Finding the Fourth Proportional to 511.06, 699.98 and 481.13

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Solution

The fourth proportional to 511.06, 699.98 and 481.13 is: 658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.06 : 699.98 = 481.13 : x
  2. Step 2: Convert to fraction form
    511.06/699.98 = 481.13/x
  3. Step 3: Cross multiply
    511.06x = 699.98 × 481.13
  4. Step 4: Simplify right side
    511.06x = 336,780.72
  5. Step 5: Solve for x
    x = 336,780.72/511.06
  6. Step 6: Final answer
    x = 658.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.