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Finding the Fourth Proportional to 1,294.50, 1,942.15 and 832.80

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Solution

The fourth proportional to 1,294.50, 1,942.15 and 832.80 is: 1,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.50 : 1,942.15 = 832.80 : x
  2. Step 2: Convert to fraction form
    1,294.50/1,942.15 = 832.80/x
  3. Step 3: Cross multiply
    1,294.50x = 1,942.15 × 832.80
  4. Step 4: Simplify right side
    1,294.50x = 1,617,422.52
  5. Step 5: Solve for x
    x = 1,617,422.52/1,294.50
  6. Step 6: Final answer
    x = 1,249.46

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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.