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Finding the Fourth Proportional to 2,402.80, 3,604.32 and 671.44

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Solution

The fourth proportional to 2,402.80, 3,604.32 and 671.44 is: 1,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.80 : 3,604.32 = 671.44 : x
  2. Step 2: Convert to fraction form
    2,402.80/3,604.32 = 671.44/x
  3. Step 3: Cross multiply
    2,402.80x = 3,604.32 × 671.44
  4. Step 4: Simplify right side
    2,402.80x = 2,420,084.62
  5. Step 5: Solve for x
    x = 2,420,084.62/2,402.80
  6. Step 6: Final answer
    x = 1,007.19

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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.