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Finding the Fourth Proportional to 579.96, 799.74 and 432.36

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Solution

The fourth proportional to 579.96, 799.74 and 432.36 is: 596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.96 : 799.74 = 432.36 : x
  2. Step 2: Convert to fraction form
    579.96/799.74 = 432.36/x
  3. Step 3: Cross multiply
    579.96x = 799.74 × 432.36
  4. Step 4: Simplify right side
    579.96x = 345,775.59
  5. Step 5: Solve for x
    x = 345,775.59/579.96
  6. Step 6: Final answer
    x = 596.21

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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.