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Finding the Fourth Proportional to 422, 629.54 and 407.04

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Solution

The fourth proportional to 422, 629.54 and 407.04 is: 607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 629.54 = 407.04 : x
  2. Step 2: Convert to fraction form
    422/629.54 = 407.04/x
  3. Step 3: Cross multiply
    422x = 629.54 × 407.04
  4. Step 4: Simplify right side
    422x = 256,247.96
  5. Step 5: Solve for x
    x = 256,247.96/422
  6. Step 6: Final answer
    x = 607.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.