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Finding the Fourth Proportional to 671.42, 1,006.93 and 397.44

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Solution

The fourth proportional to 671.42, 1,006.93 and 397.44 is: 596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 1,006.93 = 397.44 : x
  2. Step 2: Convert to fraction form
    671.42/1,006.93 = 397.44/x
  3. Step 3: Cross multiply
    671.42x = 1,006.93 × 397.44
  4. Step 4: Simplify right side
    671.42x = 400,192.27
  5. Step 5: Solve for x
    x = 400,192.27/671.42
  6. Step 6: Final answer
    x = 596.04

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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.