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Finding the Fourth Proportional to 577.57, 864.90 and 333.37

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Solution

The fourth proportional to 577.57, 864.90 and 333.37 is: 499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.57 : 864.90 = 333.37 : x
  2. Step 2: Convert to fraction form
    577.57/864.90 = 333.37/x
  3. Step 3: Cross multiply
    577.57x = 864.90 × 333.37
  4. Step 4: Simplify right side
    577.57x = 288,331.71
  5. Step 5: Solve for x
    x = 288,331.71/577.57
  6. Step 6: Final answer
    x = 499.22

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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.