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Finding the Fourth Proportional to 579.98, 800.13 and 405.43

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Solution

The fourth proportional to 579.98, 800.13 and 405.43 is: 559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.98 : 800.13 = 405.43 : x
  2. Step 2: Convert to fraction form
    579.98/800.13 = 405.43/x
  3. Step 3: Cross multiply
    579.98x = 800.13 × 405.43
  4. Step 4: Simplify right side
    579.98x = 324,396.71
  5. Step 5: Solve for x
    x = 324,396.71/579.98
  6. Step 6: Final answer
    x = 559.32

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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.