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Finding the Fourth Proportional to 671.28, 1,006.74 and 342.24

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Solution

The fourth proportional to 671.28, 1,006.74 and 342.24 is: 513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.28 : 1,006.74 = 342.24 : x
  2. Step 2: Convert to fraction form
    671.28/1,006.74 = 342.24/x
  3. Step 3: Cross multiply
    671.28x = 1,006.74 × 342.24
  4. Step 4: Simplify right side
    671.28x = 344,546.70
  5. Step 5: Solve for x
    x = 344,546.70/671.28
  6. Step 6: Final answer
    x = 513.27

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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.