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Finding the Fourth Proportional to 423.87, 585.50 and 341.29

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Solution

The fourth proportional to 423.87, 585.50 and 341.29 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 585.50 = 341.29 : x
  2. Step 2: Convert to fraction form
    423.87/585.50 = 341.29/x
  3. Step 3: Cross multiply
    423.87x = 585.50 × 341.29
  4. Step 4: Simplify right side
    423.87x = 199,825.30
  5. Step 5: Solve for x
    x = 199,825.30/423.87
  6. Step 6: Final answer
    x = 471.43

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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.