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Finding the Fourth Proportional to 579.25, 798.87 and 421.93

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Solution

The fourth proportional to 579.25, 798.87 and 421.93 is: 581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.25 : 798.87 = 421.93 : x
  2. Step 2: Convert to fraction form
    579.25/798.87 = 421.93/x
  3. Step 3: Cross multiply
    579.25x = 798.87 × 421.93
  4. Step 4: Simplify right side
    579.25x = 337,067.22
  5. Step 5: Solve for x
    x = 337,067.22/579.25
  6. Step 6: Final answer
    x = 581.90

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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.