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Finding the Fourth Proportional to 577.17, 866.34 and 333.75

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Solution

The fourth proportional to 577.17, 866.34 and 333.75 is: 500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.17 : 866.34 = 333.75 : x
  2. Step 2: Convert to fraction form
    577.17/866.34 = 333.75/x
  3. Step 3: Cross multiply
    577.17x = 866.34 × 333.75
  4. Step 4: Simplify right side
    577.17x = 289,140.98
  5. Step 5: Solve for x
    x = 289,140.98/577.17
  6. Step 6: Final answer
    x = 500.96

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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.