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Finding the Fourth Proportional to 505.73, 698.00 and 296.03

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Solution

The fourth proportional to 505.73, 698.00 and 296.03 is: 408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.73 : 698.00 = 296.03 : x
  2. Step 2: Convert to fraction form
    505.73/698.00 = 296.03/x
  3. Step 3: Cross multiply
    505.73x = 698.00 × 296.03
  4. Step 4: Simplify right side
    505.73x = 206,623.97
  5. Step 5: Solve for x
    x = 206,623.97/505.73
  6. Step 6: Final answer
    x = 408.57

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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.