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Finding the Fourth Proportional to 579.64, 799.66 and 405.09

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Solution

The fourth proportional to 579.64, 799.66 and 405.09 is: 558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.64 : 799.66 = 405.09 : x
  2. Step 2: Convert to fraction form
    579.64/799.66 = 405.09/x
  3. Step 3: Cross multiply
    579.64x = 799.66 × 405.09
  4. Step 4: Simplify right side
    579.64x = 323,934.27
  5. Step 5: Solve for x
    x = 323,934.27/579.64
  6. Step 6: Final answer
    x = 558.85

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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.