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Finding the Fourth Proportional to 574.31, 860.85 and 343.26

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Solution

The fourth proportional to 574.31, 860.85 and 343.26 is: 514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.31 : 860.85 = 343.26 : x
  2. Step 2: Convert to fraction form
    574.31/860.85 = 343.26/x
  3. Step 3: Cross multiply
    574.31x = 860.85 × 343.26
  4. Step 4: Simplify right side
    574.31x = 295,495.37
  5. Step 5: Solve for x
    x = 295,495.37/574.31
  6. Step 6: Final answer
    x = 514.52

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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.