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Finding the Fourth Proportional to 579.77, 800.14 and 343.79

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Solution

The fourth proportional to 579.77, 800.14 and 343.79 is: 474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.77 : 800.14 = 343.79 : x
  2. Step 2: Convert to fraction form
    579.77/800.14 = 343.79/x
  3. Step 3: Cross multiply
    579.77x = 800.14 × 343.79
  4. Step 4: Simplify right side
    579.77x = 275,080.13
  5. Step 5: Solve for x
    x = 275,080.13/579.77
  6. Step 6: Final answer
    x = 474.46

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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.