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Finding the Fourth Proportional to 629.67, 942.27 and 464.75

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Solution

The fourth proportional to 629.67, 942.27 and 464.75 is: 695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.67 : 942.27 = 464.75 : x
  2. Step 2: Convert to fraction form
    629.67/942.27 = 464.75/x
  3. Step 3: Cross multiply
    629.67x = 942.27 × 464.75
  4. Step 4: Simplify right side
    629.67x = 437,915.27
  5. Step 5: Solve for x
    x = 437,915.27/629.67
  6. Step 6: Final answer
    x = 695.47

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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.