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Finding the Fourth Proportional to 671.20, 1,005.92 and 363.12

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Solution

The fourth proportional to 671.20, 1,005.92 and 363.12 is: 544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.20 : 1,005.92 = 363.12 : x
  2. Step 2: Convert to fraction form
    671.20/1,005.92 = 363.12/x
  3. Step 3: Cross multiply
    671.20x = 1,005.92 × 363.12
  4. Step 4: Simplify right side
    671.20x = 365,269.67
  5. Step 5: Solve for x
    x = 365,269.67/671.20
  6. Step 6: Final answer
    x = 544.20

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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.