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Finding the Fourth Proportional to 579.75, 799.77 and 414.07

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Solution

The fourth proportional to 579.75, 799.77 and 414.07 is: 571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.75 : 799.77 = 414.07 : x
  2. Step 2: Convert to fraction form
    579.75/799.77 = 414.07/x
  3. Step 3: Cross multiply
    579.75x = 799.77 × 414.07
  4. Step 4: Simplify right side
    579.75x = 331,158.76
  5. Step 5: Solve for x
    x = 331,158.76/579.75
  6. Step 6: Final answer
    x = 571.21

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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.