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Finding the Fourth Proportional to 671.30, 1,006.96 and 382.13

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Solution

The fourth proportional to 671.30, 1,006.96 and 382.13 is: 573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.30 : 1,006.96 = 382.13 : x
  2. Step 2: Convert to fraction form
    671.30/1,006.96 = 382.13/x
  3. Step 3: Cross multiply
    671.30x = 1,006.96 × 382.13
  4. Step 4: Simplify right side
    671.30x = 384,783.63
  5. Step 5: Solve for x
    x = 384,783.63/671.30
  6. Step 6: Final answer
    x = 573.20

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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.