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Finding the Fourth Proportional to 577.25, 865.42 and 333.49

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Solution

The fourth proportional to 577.25, 865.42 and 333.49 is: 499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.25 : 865.42 = 333.49 : x
  2. Step 2: Convert to fraction form
    577.25/865.42 = 333.49/x
  3. Step 3: Cross multiply
    577.25x = 865.42 × 333.49
  4. Step 4: Simplify right side
    577.25x = 288,608.92
  5. Step 5: Solve for x
    x = 288,608.92/577.25
  6. Step 6: Final answer
    x = 499.97

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1.5x scale

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.