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Finding the Fourth Proportional to 420.41, 629.19 and 346.43

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Solution

The fourth proportional to 420.41, 629.19 and 346.43 is: 518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.41 : 629.19 = 346.43 : x
  2. Step 2: Convert to fraction form
    420.41/629.19 = 346.43/x
  3. Step 3: Cross multiply
    420.41x = 629.19 × 346.43
  4. Step 4: Simplify right side
    420.41x = 217,967.15
  5. Step 5: Solve for x
    x = 217,967.15/420.41
  6. Step 6: Final answer
    x = 518.47

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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.