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Finding the Fourth Proportional to 671.34, 1,005.64 and 396.60

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Solution

The fourth proportional to 671.34, 1,005.64 and 396.60 is: 594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.34 : 1,005.64 = 396.60 : x
  2. Step 2: Convert to fraction form
    671.34/1,005.64 = 396.60/x
  3. Step 3: Cross multiply
    671.34x = 1,005.64 × 396.60
  4. Step 4: Simplify right side
    671.34x = 398,836.82
  5. Step 5: Solve for x
    x = 398,836.82/671.34
  6. Step 6: Final answer
    x = 594.09

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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.