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Finding the Fourth Proportional to 505.73, 698.18 and 306.59

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Solution

The fourth proportional to 505.73, 698.18 and 306.59 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.73 : 698.18 = 306.59 : x
  2. Step 2: Convert to fraction form
    505.73/698.18 = 306.59/x
  3. Step 3: Cross multiply
    505.73x = 698.18 × 306.59
  4. Step 4: Simplify right side
    505.73x = 214,049.98
  5. Step 5: Solve for x
    x = 214,049.98/505.73
  6. Step 6: Final answer
    x = 423.25

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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.