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Finding the Fourth Proportional to 1,294.50, 1,942.09 and 678.04

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Solution

The fourth proportional to 1,294.50, 1,942.09 and 678.04 is: 1,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.50 : 1,942.09 = 678.04 : x
  2. Step 2: Convert to fraction form
    1,294.50/1,942.09 = 678.04/x
  3. Step 3: Cross multiply
    1,294.50x = 1,942.09 × 678.04
  4. Step 4: Simplify right side
    1,294.50x = 1,316,814.70
  5. Step 5: Solve for x
    x = 1,316,814.70/1,294.50
  6. Step 6: Final answer
    x = 1,017.24

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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.