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Finding the Fourth Proportional to 1,994.57, 2,992.17 and 678.40

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Solution

The fourth proportional to 1,994.57, 2,992.17 and 678.40 is: 1,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.57 : 2,992.17 = 678.40 : x
  2. Step 2: Convert to fraction form
    1,994.57/2,992.17 = 678.40/x
  3. Step 3: Cross multiply
    1,994.57x = 2,992.17 × 678.40
  4. Step 4: Simplify right side
    1,994.57x = 2,029,880.65
  5. Step 5: Solve for x
    x = 2,029,880.65/1,994.57
  6. Step 6: Final answer
    x = 1,017.71

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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.