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Finding the Fourth Proportional to 577.73, 865.79 and 333.92

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Solution

The fourth proportional to 577.73, 865.79 and 333.92 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.73 : 865.79 = 333.92 : x
  2. Step 2: Convert to fraction form
    577.73/865.79 = 333.92/x
  3. Step 3: Cross multiply
    577.73x = 865.79 × 333.92
  4. Step 4: Simplify right side
    577.73x = 289,106.34
  5. Step 5: Solve for x
    x = 289,106.34/577.73
  6. Step 6: Final answer
    x = 500.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.