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Finding the Fourth Proportional to 579.82, 799.57 and 537.86

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Solution

The fourth proportional to 579.82, 799.57 and 537.86 is: 741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.82 : 799.57 = 537.86 : x
  2. Step 2: Convert to fraction form
    579.82/799.57 = 537.86/x
  3. Step 3: Cross multiply
    579.82x = 799.57 × 537.86
  4. Step 4: Simplify right side
    579.82x = 430,056.72
  5. Step 5: Solve for x
    x = 430,056.72/579.82
  6. Step 6: Final answer
    x = 741.71

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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.