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Finding the Fourth Proportional to 1,294.77, 1,940.96 and 678.90

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Solution

The fourth proportional to 1,294.77, 1,940.96 and 678.90 is: 1,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.77 : 1,940.96 = 678.90 : x
  2. Step 2: Convert to fraction form
    1,294.77/1,940.96 = 678.90/x
  3. Step 3: Cross multiply
    1,294.77x = 1,940.96 × 678.90
  4. Step 4: Simplify right side
    1,294.77x = 1,317,714.35
  5. Step 5: Solve for x
    x = 1,317,714.35/1,294.77
  6. Step 6: Final answer
    x = 1,017.72

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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.