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Finding the Fourth Proportional to 1,471.14, 2,206.71 and 445.14

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Solution

The fourth proportional to 1,471.14, 2,206.71 and 445.14 is: 667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.14 : 2,206.71 = 445.14 : x
  2. Step 2: Convert to fraction form
    1,471.14/2,206.71 = 445.14/x
  3. Step 3: Cross multiply
    1,471.14x = 2,206.71 × 445.14
  4. Step 4: Simplify right side
    1,471.14x = 982,294.89
  5. Step 5: Solve for x
    x = 982,294.89/1,471.14
  6. Step 6: Final answer
    x = 667.71

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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.