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Finding the Fourth Proportional to 487.85, 730.96 and 343.31

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Solution

The fourth proportional to 487.85, 730.96 and 343.31 is: 514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.85 : 730.96 = 343.31 : x
  2. Step 2: Convert to fraction form
    487.85/730.96 = 343.31/x
  3. Step 3: Cross multiply
    487.85x = 730.96 × 343.31
  4. Step 4: Simplify right side
    487.85x = 250,945.88
  5. Step 5: Solve for x
    x = 250,945.88/487.85
  6. Step 6: Final answer
    x = 514.39

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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.