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Finding the Fourth Proportional to 1,378.38, 2,066.80 and 453.86

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Solution

The fourth proportional to 1,378.38, 2,066.80 and 453.86 is: 680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.38 : 2,066.80 = 453.86 : x
  2. Step 2: Convert to fraction form
    1,378.38/2,066.80 = 453.86/x
  3. Step 3: Cross multiply
    1,378.38x = 2,066.80 × 453.86
  4. Step 4: Simplify right side
    1,378.38x = 938,037.85
  5. Step 5: Solve for x
    x = 938,037.85/1,378.38
  6. Step 6: Final answer
    x = 680.54

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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.