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Finding the Fourth Proportional to 855.43, 1,282.34 and 335.77

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Solution

The fourth proportional to 855.43, 1,282.34 and 335.77 is: 503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.43 : 1,282.34 = 335.77 : x
  2. Step 2: Convert to fraction form
    855.43/1,282.34 = 335.77/x
  3. Step 3: Cross multiply
    855.43x = 1,282.34 × 335.77
  4. Step 4: Simplify right side
    855.43x = 430,568.94
  5. Step 5: Solve for x
    x = 430,568.94/855.43
  6. Step 6: Final answer
    x = 503.34

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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.