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Finding the Fourth Proportional to 574.40, 861.93 and 343.85

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Solution

The fourth proportional to 574.40, 861.93 and 343.85 is: 515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.40 : 861.93 = 343.85 : x
  2. Step 2: Convert to fraction form
    574.40/861.93 = 343.85/x
  3. Step 3: Cross multiply
    574.40x = 861.93 × 343.85
  4. Step 4: Simplify right side
    574.40x = 296,374.63
  5. Step 5: Solve for x
    x = 296,374.63/574.40
  6. Step 6: Final answer
    x = 515.97

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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.