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Finding the Fourth Proportional to 579.45, 798.91 and 421.96

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Solution

The fourth proportional to 579.45, 798.91 and 421.96 is: 581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.45 : 798.91 = 421.96 : x
  2. Step 2: Convert to fraction form
    579.45/798.91 = 421.96/x
  3. Step 3: Cross multiply
    579.45x = 798.91 × 421.96
  4. Step 4: Simplify right side
    579.45x = 337,108.06
  5. Step 5: Solve for x
    x = 337,108.06/579.45
  6. Step 6: Final answer
    x = 581.77

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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.