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Finding the Fourth Proportional to 671.38, 1,006.47 and 325.05

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Solution

The fourth proportional to 671.38, 1,006.47 and 325.05 is: 487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.38 : 1,006.47 = 325.05 : x
  2. Step 2: Convert to fraction form
    671.38/1,006.47 = 325.05/x
  3. Step 3: Cross multiply
    671.38x = 1,006.47 × 325.05
  4. Step 4: Simplify right side
    671.38x = 327,153.07
  5. Step 5: Solve for x
    x = 327,153.07/671.38
  6. Step 6: Final answer
    x = 487.28

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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.