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Finding the Fourth Proportional to 577.34, 865.61 and 230.75

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Solution

The fourth proportional to 577.34, 865.61 and 230.75 is: 345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.34 : 865.61 = 230.75 : x
  2. Step 2: Convert to fraction form
    577.34/865.61 = 230.75/x
  3. Step 3: Cross multiply
    577.34x = 865.61 × 230.75
  4. Step 4: Simplify right side
    577.34x = 199,738.35
  5. Step 5: Solve for x
    x = 199,738.35/577.34
  6. Step 6: Final answer
    x = 345.96

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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.