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Finding the Fourth Proportional to 577.13, 863.60 and 345.20

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Solution

The fourth proportional to 577.13, 863.60 and 345.20 is: 516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 863.60 = 345.20 : x
  2. Step 2: Convert to fraction form
    577.13/863.60 = 345.20/x
  3. Step 3: Cross multiply
    577.13x = 863.60 × 345.20
  4. Step 4: Simplify right side
    577.13x = 298,108.68
  5. Step 5: Solve for x
    x = 298,108.68/577.13
  6. Step 6: Final answer
    x = 516.54

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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.