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Finding the Fourth Proportional to 431.27, 594.89 and 376.14

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Solution

The fourth proportional to 431.27, 594.89 and 376.14 is: 518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.27 : 594.89 = 376.14 : x
  2. Step 2: Convert to fraction form
    431.27/594.89 = 376.14/x
  3. Step 3: Cross multiply
    431.27x = 594.89 × 376.14
  4. Step 4: Simplify right side
    431.27x = 223,765.80
  5. Step 5: Solve for x
    x = 223,765.80/431.27
  6. Step 6: Final answer
    x = 518.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.