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Finding the Fourth Proportional to 671.63, 1,005.01 and 426.60

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Solution

The fourth proportional to 671.63, 1,005.01 and 426.60 is: 638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.63 : 1,005.01 = 426.60 : x
  2. Step 2: Convert to fraction form
    671.63/1,005.01 = 426.60/x
  3. Step 3: Cross multiply
    671.63x = 1,005.01 × 426.60
  4. Step 4: Simplify right side
    671.63x = 428,736.20
  5. Step 5: Solve for x
    x = 428,736.20/671.63
  6. Step 6: Final answer
    x = 638.36

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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.