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Finding the Fourth Proportional to 577.20, 864.42 and 342.30

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Solution

The fourth proportional to 577.20, 864.42 and 342.30 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 864.42 = 342.30 : x
  2. Step 2: Convert to fraction form
    577.20/864.42 = 342.30/x
  3. Step 3: Cross multiply
    577.20x = 864.42 × 342.30
  4. Step 4: Simplify right side
    577.20x = 295,890.97
  5. Step 5: Solve for x
    x = 295,890.97/577.20
  6. Step 6: Final answer
    x = 512.63

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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.