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Finding the Fourth Proportional to 1,344.11, 2,015.82 and 478.42

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Solution

The fourth proportional to 1,344.11, 2,015.82 and 478.42 is: 717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.11 : 2,015.82 = 478.42 : x
  2. Step 2: Convert to fraction form
    1,344.11/2,015.82 = 478.42/x
  3. Step 3: Cross multiply
    1,344.11x = 2,015.82 × 478.42
  4. Step 4: Simplify right side
    1,344.11x = 964,403.56
  5. Step 5: Solve for x
    x = 964,403.56/1,344.11
  6. Step 6: Final answer
    x = 717.51

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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.