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Finding the Fourth Proportional to 1,378.46, 2,065.74 and 684.47

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Solution

The fourth proportional to 1,378.46, 2,065.74 and 684.47 is: 1,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.46 : 2,065.74 = 684.47 : x
  2. Step 2: Convert to fraction form
    1,378.46/2,065.74 = 684.47/x
  3. Step 3: Cross multiply
    1,378.46x = 2,065.74 × 684.47
  4. Step 4: Simplify right side
    1,378.46x = 1,413,926.73
  5. Step 5: Solve for x
    x = 1,413,926.73/1,378.46
  6. Step 6: Final answer
    x = 1,025.73

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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.