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Finding the Fourth Proportional to 431.93, 594.74 and 343.24

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Solution

The fourth proportional to 431.93, 594.74 and 343.24 is: 472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.93 : 594.74 = 343.24 : x
  2. Step 2: Convert to fraction form
    431.93/594.74 = 343.24/x
  3. Step 3: Cross multiply
    431.93x = 594.74 × 343.24
  4. Step 4: Simplify right side
    431.93x = 204,137.93
  5. Step 5: Solve for x
    x = 204,137.93/431.93
  6. Step 6: Final answer
    x = 472.62

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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.