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Finding the Fourth Proportional to 1,378.57, 2,067.87 and 830.08

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Solution

The fourth proportional to 1,378.57, 2,067.87 and 830.08 is: 1,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.57 : 2,067.87 = 830.08 : x
  2. Step 2: Convert to fraction form
    1,378.57/2,067.87 = 830.08/x
  3. Step 3: Cross multiply
    1,378.57x = 2,067.87 × 830.08
  4. Step 4: Simplify right side
    1,378.57x = 1,716,497.53
  5. Step 5: Solve for x
    x = 1,716,497.53/1,378.57
  6. Step 6: Final answer
    x = 1,245.13

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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.