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Finding the Fourth Proportional to 420.12, 629.24 and 374.56

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Solution

The fourth proportional to 420.12, 629.24 and 374.56 is: 560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 629.24 = 374.56 : x
  2. Step 2: Convert to fraction form
    420.12/629.24 = 374.56/x
  3. Step 3: Cross multiply
    420.12x = 629.24 × 374.56
  4. Step 4: Simplify right side
    420.12x = 235,684.69
  5. Step 5: Solve for x
    x = 235,684.69/420.12
  6. Step 6: Final answer
    x = 560.99

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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.