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Finding the Fourth Proportional to 579.48, 799.47 and 405.06

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Solution

The fourth proportional to 579.48, 799.47 and 405.06 is: 558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.48 : 799.47 = 405.06 : x
  2. Step 2: Convert to fraction form
    579.48/799.47 = 405.06/x
  3. Step 3: Cross multiply
    579.48x = 799.47 × 405.06
  4. Step 4: Simplify right side
    579.48x = 323,833.32
  5. Step 5: Solve for x
    x = 323,833.32/579.48
  6. Step 6: Final answer
    x = 558.83

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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.