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Finding the Fourth Proportional to 577.99, 796.89 and 420.49

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Solution

The fourth proportional to 577.99, 796.89 and 420.49 is: 579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.99 : 796.89 = 420.49 : x
  2. Step 2: Convert to fraction form
    577.99/796.89 = 420.49/x
  3. Step 3: Cross multiply
    577.99x = 796.89 × 420.49
  4. Step 4: Simplify right side
    577.99x = 335,084.48
  5. Step 5: Solve for x
    x = 335,084.48/577.99
  6. Step 6: Final answer
    x = 579.75

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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.