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Finding the Fourth Proportional to 579.68, 799.82 and 505.86

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Solution

The fourth proportional to 579.68, 799.82 and 505.86 is: 697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.68 : 799.82 = 505.86 : x
  2. Step 2: Convert to fraction form
    579.68/799.82 = 505.86/x
  3. Step 3: Cross multiply
    579.68x = 799.82 × 505.86
  4. Step 4: Simplify right side
    579.68x = 404,594.42
  5. Step 5: Solve for x
    x = 404,594.42/579.68
  6. Step 6: Final answer
    x = 697.97

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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.