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Finding the Fourth Proportional to 577.70, 864.84 and 382.34

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Solution

The fourth proportional to 577.70, 864.84 and 382.34 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.70 : 864.84 = 382.34 : x
  2. Step 2: Convert to fraction form
    577.70/864.84 = 382.34/x
  3. Step 3: Cross multiply
    577.70x = 864.84 × 382.34
  4. Step 4: Simplify right side
    577.70x = 330,662.93
  5. Step 5: Solve for x
    x = 330,662.93/577.70
  6. Step 6: Final answer
    x = 572.38

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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.