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Finding the Fourth Proportional to 1,661.66, 2,493.38 and 738.14

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Solution

The fourth proportional to 1,661.66, 2,493.38 and 738.14 is: 1,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.66 : 2,493.38 = 738.14 : x
  2. Step 2: Convert to fraction form
    1,661.66/2,493.38 = 738.14/x
  3. Step 3: Cross multiply
    1,661.66x = 2,493.38 × 738.14
  4. Step 4: Simplify right side
    1,661.66x = 1,840,463.51
  5. Step 5: Solve for x
    x = 1,840,463.51/1,661.66
  6. Step 6: Final answer
    x = 1,107.61

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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.